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Finding the Fourth Proportional to 358.14, 537.16 and 98.16

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Solution

The fourth proportional to 358.14, 537.16 and 98.16 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 537.16 = 98.16 : x
  2. Step 2: Convert to fraction form
    358.14/537.16 = 98.16/x
  3. Step 3: Cross multiply
    358.14x = 537.16 × 98.16
  4. Step 4: Simplify right side
    358.14x = 52,727.13
  5. Step 5: Solve for x
    x = 52,727.13/358.14
  6. Step 6: Final answer
    x = 147.22

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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.