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Finding the Fourth Proportional to 169.84, 233.85 and 147.88

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Solution

The fourth proportional to 169.84, 233.85 and 147.88 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.84 : 233.85 = 147.88 : x
  2. Step 2: Convert to fraction form
    169.84/233.85 = 147.88/x
  3. Step 3: Cross multiply
    169.84x = 233.85 × 147.88
  4. Step 4: Simplify right side
    169.84x = 34,581.74
  5. Step 5: Solve for x
    x = 34,581.74/169.84
  6. Step 6: Final answer
    x = 203.61

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