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Finding the Fourth Proportional to 175.40, 261.56 and 171.32

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Solution

The fourth proportional to 175.40, 261.56 and 171.32 is: 255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 261.56 = 171.32 : x
  2. Step 2: Convert to fraction form
    175.40/261.56 = 171.32/x
  3. Step 3: Cross multiply
    175.40x = 261.56 × 171.32
  4. Step 4: Simplify right side
    175.40x = 44,809.58
  5. Step 5: Solve for x
    x = 44,809.58/175.40
  6. Step 6: Final answer
    x = 255.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.