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Finding the Fourth Proportional to 211.57, 291.96 and 124.30

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Solution

The fourth proportional to 211.57, 291.96 and 124.30 is: 171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.57 : 291.96 = 124.30 : x
  2. Step 2: Convert to fraction form
    211.57/291.96 = 124.30/x
  3. Step 3: Cross multiply
    211.57x = 291.96 × 124.30
  4. Step 4: Simplify right side
    211.57x = 36,290.63
  5. Step 5: Solve for x
    x = 36,290.63/211.57
  6. Step 6: Final answer
    x = 171.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.