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Finding the Fourth Proportional to 148.74, 223.02 and 52.50

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Solution

The fourth proportional to 148.74, 223.02 and 52.50 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.74 : 223.02 = 52.50 : x
  2. Step 2: Convert to fraction form
    148.74/223.02 = 52.50/x
  3. Step 3: Cross multiply
    148.74x = 223.02 × 52.50
  4. Step 4: Simplify right side
    148.74x = 11,708.55
  5. Step 5: Solve for x
    x = 11,708.55/148.74
  6. Step 6: Final answer
    x = 78.72

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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.