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Finding the Fourth Proportional to 171.60, 257 and 130.88

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Solution

The fourth proportional to 171.60, 257 and 130.88 is: 196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.60 : 257 = 130.88 : x
  2. Step 2: Convert to fraction form
    171.60/257 = 130.88/x
  3. Step 3: Cross multiply
    171.60x = 257 × 130.88
  4. Step 4: Simplify right side
    171.60x = 33,636.16
  5. Step 5: Solve for x
    x = 33,636.16/171.60
  6. Step 6: Final answer
    x = 196.01

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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.