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Finding the Fourth Proportional to 229.07, 316.10 and 135.83

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Solution

The fourth proportional to 229.07, 316.10 and 135.83 is: 187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.07 : 316.10 = 135.83 : x
  2. Step 2: Convert to fraction form
    229.07/316.10 = 135.83/x
  3. Step 3: Cross multiply
    229.07x = 316.10 × 135.83
  4. Step 4: Simplify right side
    229.07x = 42,933.60
  5. Step 5: Solve for x
    x = 42,933.60/229.07
  6. Step 6: Final answer
    x = 187.43

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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.