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Finding the Fourth Proportional to 175.02, 261.78 and 170.58

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Solution

The fourth proportional to 175.02, 261.78 and 170.58 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.02 : 261.78 = 170.58 : x
  2. Step 2: Convert to fraction form
    175.02/261.78 = 170.58/x
  3. Step 3: Cross multiply
    175.02x = 261.78 × 170.58
  4. Step 4: Simplify right side
    175.02x = 44,654.43
  5. Step 5: Solve for x
    x = 44,654.43/175.02
  6. Step 6: Final answer
    x = 255.14

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