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Finding the Fourth Proportional to 265.71, 366.75 and 178.23

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Solution

The fourth proportional to 265.71, 366.75 and 178.23 is: 246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.71 : 366.75 = 178.23 : x
  2. Step 2: Convert to fraction form
    265.71/366.75 = 178.23/x
  3. Step 3: Cross multiply
    265.71x = 366.75 × 178.23
  4. Step 4: Simplify right side
    265.71x = 65,365.85
  5. Step 5: Solve for x
    x = 65,365.85/265.71
  6. Step 6: Final answer
    x = 246.00

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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.