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Finding the Fourth Proportional to 265.42, 366.40 and 178.14

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Solution

The fourth proportional to 265.42, 366.40 and 178.14 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.42 : 366.40 = 178.14 : x
  2. Step 2: Convert to fraction form
    265.42/366.40 = 178.14/x
  3. Step 3: Cross multiply
    265.42x = 366.40 × 178.14
  4. Step 4: Simplify right side
    265.42x = 65,270.50
  5. Step 5: Solve for x
    x = 65,270.50/265.42
  6. Step 6: Final answer
    x = 245.91

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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.