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Finding the Fourth Proportional to 229.65, 316.76 and 146.76

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Solution

The fourth proportional to 229.65, 316.76 and 146.76 is: 202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.65 : 316.76 = 146.76 : x
  2. Step 2: Convert to fraction form
    229.65/316.76 = 146.76/x
  3. Step 3: Cross multiply
    229.65x = 316.76 × 146.76
  4. Step 4: Simplify right side
    229.65x = 46,486.96
  5. Step 5: Solve for x
    x = 46,486.96/229.65
  6. Step 6: Final answer
    x = 202.43

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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.