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Finding the Fourth Proportional to 182.32, 271.76 and 178.08

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Solution

The fourth proportional to 182.32, 271.76 and 178.08 is: 265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.32 : 271.76 = 178.08 : x
  2. Step 2: Convert to fraction form
    182.32/271.76 = 178.08/x
  3. Step 3: Cross multiply
    182.32x = 271.76 × 178.08
  4. Step 4: Simplify right side
    182.32x = 48,395.02
  5. Step 5: Solve for x
    x = 48,395.02/182.32
  6. Step 6: Final answer
    x = 265.44

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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.