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Finding the Fourth Proportional to 498.50, 747.76 and 156.50

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Solution

The fourth proportional to 498.50, 747.76 and 156.50 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.50 : 747.76 = 156.50 : x
  2. Step 2: Convert to fraction form
    498.50/747.76 = 156.50/x
  3. Step 3: Cross multiply
    498.50x = 747.76 × 156.50
  4. Step 4: Simplify right side
    498.50x = 117,024.44
  5. Step 5: Solve for x
    x = 117,024.44/498.50
  6. Step 6: Final answer
    x = 234.75

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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.