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Finding the Fourth Proportional to 171.23, 256.76 and 49.46

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Solution

The fourth proportional to 171.23, 256.76 and 49.46 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.23 : 256.76 = 49.46 : x
  2. Step 2: Convert to fraction form
    171.23/256.76 = 49.46/x
  3. Step 3: Cross multiply
    171.23x = 256.76 × 49.46
  4. Step 4: Simplify right side
    171.23x = 12,697.82
  5. Step 5: Solve for x
    x = 12,697.82/171.23
  6. Step 6: Final answer
    x = 74.16

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Why These Related Problems?

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