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Finding the Fourth Proportional to 265.76, 366.76 and 162.24

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Solution

The fourth proportional to 265.76, 366.76 and 162.24 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.76 : 366.76 = 162.24 : x
  2. Step 2: Convert to fraction form
    265.76/366.76 = 162.24/x
  3. Step 3: Cross multiply
    265.76x = 366.76 × 162.24
  4. Step 4: Simplify right side
    265.76x = 59,503.14
  5. Step 5: Solve for x
    x = 59,503.14/265.76
  6. Step 6: Final answer
    x = 223.90

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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.