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Finding the Fourth Proportional to 211.85, 292.33 and 124.50

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Solution

The fourth proportional to 211.85, 292.33 and 124.50 is: 171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.85 : 292.33 = 124.50 : x
  2. Step 2: Convert to fraction form
    211.85/292.33 = 124.50/x
  3. Step 3: Cross multiply
    211.85x = 292.33 × 124.50
  4. Step 4: Simplify right side
    211.85x = 36,394.77
  5. Step 5: Solve for x
    x = 36,394.77/211.85
  6. Step 6: Final answer
    x = 171.80

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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.