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Finding the Fourth Proportional to 210.78, 316.05 and 124.13

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Solution

The fourth proportional to 210.78, 316.05 and 124.13 is: 186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.78 : 316.05 = 124.13 : x
  2. Step 2: Convert to fraction form
    210.78/316.05 = 124.13/x
  3. Step 3: Cross multiply
    210.78x = 316.05 × 124.13
  4. Step 4: Simplify right side
    210.78x = 39,231.29
  5. Step 5: Solve for x
    x = 39,231.29/210.78
  6. Step 6: Final answer
    x = 186.12

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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.