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Finding the Fourth Proportional to 534.88, 802.14 and 150.04

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Solution

The fourth proportional to 534.88, 802.14 and 150.04 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.88 : 802.14 = 150.04 : x
  2. Step 2: Convert to fraction form
    534.88/802.14 = 150.04/x
  3. Step 3: Cross multiply
    534.88x = 802.14 × 150.04
  4. Step 4: Simplify right side
    534.88x = 120,353.09
  5. Step 5: Solve for x
    x = 120,353.09/534.88
  6. Step 6: Final answer
    x = 225.01

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