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Finding the Fourth Proportional to 178.08, 265.56 and 171.84

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Solution

The fourth proportional to 178.08, 265.56 and 171.84 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.08 : 265.56 = 171.84 : x
  2. Step 2: Convert to fraction form
    178.08/265.56 = 171.84/x
  3. Step 3: Cross multiply
    178.08x = 265.56 × 171.84
  4. Step 4: Simplify right side
    178.08x = 45,633.83
  5. Step 5: Solve for x
    x = 45,633.83/178.08
  6. Step 6: Final answer
    x = 256.25

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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.