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Finding the Fourth Proportional to 257.32, 355.22 and 178.90

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Solution

The fourth proportional to 257.32, 355.22 and 178.90 is: 246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.32 : 355.22 = 178.90 : x
  2. Step 2: Convert to fraction form
    257.32/355.22 = 178.90/x
  3. Step 3: Cross multiply
    257.32x = 355.22 × 178.90
  4. Step 4: Simplify right side
    257.32x = 63,547.75
  5. Step 5: Solve for x
    x = 63,547.75/257.32
  6. Step 6: Final answer
    x = 246.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.