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Finding the Fourth Proportional to 209.84, 315 and 124.52

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Solution

The fourth proportional to 209.84, 315 and 124.52 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 315 = 124.52 : x
  2. Step 2: Convert to fraction form
    209.84/315 = 124.52/x
  3. Step 3: Cross multiply
    209.84x = 315 × 124.52
  4. Step 4: Simplify right side
    209.84x = 39,223.80
  5. Step 5: Solve for x
    x = 39,223.80/209.84
  6. Step 6: Final answer
    x = 186.92

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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.