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Finding the Fourth Proportional to 229.52, 316.68 and 151.04

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Solution

The fourth proportional to 229.52, 316.68 and 151.04 is: 208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.52 : 316.68 = 151.04 : x
  2. Step 2: Convert to fraction form
    229.52/316.68 = 151.04/x
  3. Step 3: Cross multiply
    229.52x = 316.68 × 151.04
  4. Step 4: Simplify right side
    229.52x = 47,831.35
  5. Step 5: Solve for x
    x = 47,831.35/229.52
  6. Step 6: Final answer
    x = 208.40

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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.