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Finding the Fourth Proportional to 148.98, 223.12 and 118.57

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Solution

The fourth proportional to 148.98, 223.12 and 118.57 is: 177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.98 : 223.12 = 118.57 : x
  2. Step 2: Convert to fraction form
    148.98/223.12 = 118.57/x
  3. Step 3: Cross multiply
    148.98x = 223.12 × 118.57
  4. Step 4: Simplify right side
    148.98x = 26,455.34
  5. Step 5: Solve for x
    x = 26,455.34/148.98
  6. Step 6: Final answer
    x = 177.58

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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.