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Finding the Fourth Proportional to 229.67, 316.86 and 152

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Solution

The fourth proportional to 229.67, 316.86 and 152 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.67 : 316.86 = 152 : x
  2. Step 2: Convert to fraction form
    229.67/316.86 = 152/x
  3. Step 3: Cross multiply
    229.67x = 316.86 × 152
  4. Step 4: Simplify right side
    229.67x = 48,162.72
  5. Step 5: Solve for x
    x = 48,162.72/229.67
  6. Step 6: Final answer
    x = 209.70

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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.