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Finding the Fourth Proportional to 802.68, 1,203.92 and 225.50

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Solution

The fourth proportional to 802.68, 1,203.92 and 225.50 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.68 : 1,203.92 = 225.50 : x
  2. Step 2: Convert to fraction form
    802.68/1,203.92 = 225.50/x
  3. Step 3: Cross multiply
    802.68x = 1,203.92 × 225.50
  4. Step 4: Simplify right side
    802.68x = 271,483.96
  5. Step 5: Solve for x
    x = 271,483.96/802.68
  6. Step 6: Final answer
    x = 338.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.