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Finding the Fourth Proportional to 229, 315.96 and 135.71

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Solution

The fourth proportional to 229, 315.96 and 135.71 is: 187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 315.96 = 135.71 : x
  2. Step 2: Convert to fraction form
    229/315.96 = 135.71/x
  3. Step 3: Cross multiply
    229x = 315.96 × 135.71
  4. Step 4: Simplify right side
    229x = 42,878.93
  5. Step 5: Solve for x
    x = 42,878.93/229
  6. Step 6: Final answer
    x = 187.24

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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.