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Finding the Fourth Proportional to 265.42, 366.13 and 165.88

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Solution

The fourth proportional to 265.42, 366.13 and 165.88 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.42 : 366.13 = 165.88 : x
  2. Step 2: Convert to fraction form
    265.42/366.13 = 165.88/x
  3. Step 3: Cross multiply
    265.42x = 366.13 × 165.88
  4. Step 4: Simplify right side
    265.42x = 60,733.64
  5. Step 5: Solve for x
    x = 60,733.64/265.42
  6. Step 6: Final answer
    x = 228.82

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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.