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Finding the Fourth Proportional to 229.97, 317.34 and 136.72

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Solution

The fourth proportional to 229.97, 317.34 and 136.72 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 317.34 = 136.72 : x
  2. Step 2: Convert to fraction form
    229.97/317.34 = 136.72/x
  3. Step 3: Cross multiply
    229.97x = 317.34 × 136.72
  4. Step 4: Simplify right side
    229.97x = 43,386.72
  5. Step 5: Solve for x
    x = 43,386.72/229.97
  6. Step 6: Final answer
    x = 188.66

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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.