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Finding the Fourth Proportional to 148.66, 223.09 and 52.47

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Solution

The fourth proportional to 148.66, 223.09 and 52.47 is: 78.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.66 : 223.09 = 52.47 : x
  2. Step 2: Convert to fraction form
    148.66/223.09 = 52.47/x
  3. Step 3: Cross multiply
    148.66x = 223.09 × 52.47
  4. Step 4: Simplify right side
    148.66x = 11,705.53
  5. Step 5: Solve for x
    x = 11,705.53/148.66
  6. Step 6: Final answer
    x = 78.74

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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.