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Finding the Fourth Proportional to 178.16, 265.68 and 171.16

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Solution

The fourth proportional to 178.16, 265.68 and 171.16 is: 255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 265.68 = 171.16 : x
  2. Step 2: Convert to fraction form
    178.16/265.68 = 171.16/x
  3. Step 3: Cross multiply
    178.16x = 265.68 × 171.16
  4. Step 4: Simplify right side
    178.16x = 45,473.79
  5. Step 5: Solve for x
    x = 45,473.79/178.16
  6. Step 6: Final answer
    x = 255.24

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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.