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Finding the Fourth Proportional to 171.01, 256.15 and 142.05

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Solution

The fourth proportional to 171.01, 256.15 and 142.05 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.01 : 256.15 = 142.05 : x
  2. Step 2: Convert to fraction form
    171.01/256.15 = 142.05/x
  3. Step 3: Cross multiply
    171.01x = 256.15 × 142.05
  4. Step 4: Simplify right side
    171.01x = 36,386.11
  5. Step 5: Solve for x
    x = 36,386.11/171.01
  6. Step 6: Final answer
    x = 212.77

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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.