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Finding the Fourth Proportional to 502.23, 753.28 and 155.80

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Solution

The fourth proportional to 502.23, 753.28 and 155.80 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.23 : 753.28 = 155.80 : x
  2. Step 2: Convert to fraction form
    502.23/753.28 = 155.80/x
  3. Step 3: Cross multiply
    502.23x = 753.28 × 155.80
  4. Step 4: Simplify right side
    502.23x = 117,360.25
  5. Step 5: Solve for x
    x = 117,360.25/502.23
  6. Step 6: Final answer
    x = 233.68

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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.