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Finding the Fourth Proportional to 265.76, 398.16 and 178.88

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Solution

The fourth proportional to 265.76, 398.16 and 178.88 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.76 : 398.16 = 178.88 : x
  2. Step 2: Convert to fraction form
    265.76/398.16 = 178.88/x
  3. Step 3: Cross multiply
    265.76x = 398.16 × 178.88
  4. Step 4: Simplify right side
    265.76x = 71,222.86
  5. Step 5: Solve for x
    x = 71,222.86/265.76
  6. Step 6: Final answer
    x = 268.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.