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Finding the Fourth Proportional to 184.32, 252.72 and 178.08

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Solution

The fourth proportional to 184.32, 252.72 and 178.08 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 252.72 = 178.08 : x
  2. Step 2: Convert to fraction form
    184.32/252.72 = 178.08/x
  3. Step 3: Cross multiply
    184.32x = 252.72 × 178.08
  4. Step 4: Simplify right side
    184.32x = 45,004.38
  5. Step 5: Solve for x
    x = 45,004.38/184.32
  6. Step 6: Final answer
    x = 244.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.