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Finding the Fourth Proportional to 534.82, 802.25 and 150.07

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Solution

The fourth proportional to 534.82, 802.25 and 150.07 is: 225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.82 : 802.25 = 150.07 : x
  2. Step 2: Convert to fraction form
    534.82/802.25 = 150.07/x
  3. Step 3: Cross multiply
    534.82x = 802.25 × 150.07
  4. Step 4: Simplify right side
    534.82x = 120,393.66
  5. Step 5: Solve for x
    x = 120,393.66/534.82
  6. Step 6: Final answer
    x = 225.11

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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.