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Finding the Fourth Proportional to 171.40, 256.89 and 106.30

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Solution

The fourth proportional to 171.40, 256.89 and 106.30 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.40 : 256.89 = 106.30 : x
  2. Step 2: Convert to fraction form
    171.40/256.89 = 106.30/x
  3. Step 3: Cross multiply
    171.40x = 256.89 × 106.30
  4. Step 4: Simplify right side
    171.40x = 27,307.41
  5. Step 5: Solve for x
    x = 27,307.41/171.40
  6. Step 6: Final answer
    x = 159.32

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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.