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Finding the Fourth Proportional to 265.68, 366.40 and 178.40

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Solution

The fourth proportional to 265.68, 366.40 and 178.40 is: 246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 366.40 = 178.40 : x
  2. Step 2: Convert to fraction form
    265.68/366.40 = 178.40/x
  3. Step 3: Cross multiply
    265.68x = 366.40 × 178.40
  4. Step 4: Simplify right side
    265.68x = 65,365.76
  5. Step 5: Solve for x
    x = 65,365.76/265.68
  6. Step 6: Final answer
    x = 246.03

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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.