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Finding the Fourth Proportional to 358.13, 537.21 and 101.63

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Solution

The fourth proportional to 358.13, 537.21 and 101.63 is: 152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 537.21 = 101.63 : x
  2. Step 2: Convert to fraction form
    358.13/537.21 = 101.63/x
  3. Step 3: Cross multiply
    358.13x = 537.21 × 101.63
  4. Step 4: Simplify right side
    358.13x = 54,593.97
  5. Step 5: Solve for x
    x = 54,593.97/358.13
  6. Step 6: Final answer
    x = 152.44

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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.