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Finding the Fourth Proportional to 229.53, 316.85 and 146.74

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Solution

The fourth proportional to 229.53, 316.85 and 146.74 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.53 : 316.85 = 146.74 : x
  2. Step 2: Convert to fraction form
    229.53/316.85 = 146.74/x
  3. Step 3: Cross multiply
    229.53x = 316.85 × 146.74
  4. Step 4: Simplify right side
    229.53x = 46,494.57
  5. Step 5: Solve for x
    x = 46,494.57/229.53
  6. Step 6: Final answer
    x = 202.56

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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.