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Finding the Fourth Proportional to 148.46, 204.90 and 109.76

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Solution

The fourth proportional to 148.46, 204.90 and 109.76 is: 151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.46 : 204.90 = 109.76 : x
  2. Step 2: Convert to fraction form
    148.46/204.90 = 109.76/x
  3. Step 3: Cross multiply
    148.46x = 204.90 × 109.76
  4. Step 4: Simplify right side
    148.46x = 22,489.82
  5. Step 5: Solve for x
    x = 22,489.82/148.46
  6. Step 6: Final answer
    x = 151.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.