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Finding the Fourth Proportional to 534.74, 802.19 and 150.02

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Solution

The fourth proportional to 534.74, 802.19 and 150.02 is: 225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 802.19 = 150.02 : x
  2. Step 2: Convert to fraction form
    534.74/802.19 = 150.02/x
  3. Step 3: Cross multiply
    534.74x = 802.19 × 150.02
  4. Step 4: Simplify right side
    534.74x = 120,344.54
  5. Step 5: Solve for x
    x = 120,344.54/534.74
  6. Step 6: Final answer
    x = 225.05

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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.