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Finding the Fourth Proportional to 462.28, 693.17 and 188.23

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Solution

The fourth proportional to 462.28, 693.17 and 188.23 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.28 : 693.17 = 188.23 : x
  2. Step 2: Convert to fraction form
    462.28/693.17 = 188.23/x
  3. Step 3: Cross multiply
    462.28x = 693.17 × 188.23
  4. Step 4: Simplify right side
    462.28x = 130,475.86
  5. Step 5: Solve for x
    x = 130,475.86/462.28
  6. Step 6: Final answer
    x = 282.24

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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.