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Finding the Fourth Proportional to 210.14, 315.24 and 197.78

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Solution

The fourth proportional to 210.14, 315.24 and 197.78 is: 296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.14 : 315.24 = 197.78 : x
  2. Step 2: Convert to fraction form
    210.14/315.24 = 197.78/x
  3. Step 3: Cross multiply
    210.14x = 315.24 × 197.78
  4. Step 4: Simplify right side
    210.14x = 62,348.17
  5. Step 5: Solve for x
    x = 62,348.17/210.14
  6. Step 6: Final answer
    x = 296.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.