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Finding the Fourth Proportional to 229.02, 315.78 and 197.70

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Solution

The fourth proportional to 229.02, 315.78 and 197.70 is: 272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.02 : 315.78 = 197.70 : x
  2. Step 2: Convert to fraction form
    229.02/315.78 = 197.70/x
  3. Step 3: Cross multiply
    229.02x = 315.78 × 197.70
  4. Step 4: Simplify right side
    229.02x = 62,429.71
  5. Step 5: Solve for x
    x = 62,429.71/229.02
  6. Step 6: Final answer
    x = 272.59

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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.