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Finding the Fourth Proportional to 265.32, 366.11 and 147.30

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Solution

The fourth proportional to 265.32, 366.11 and 147.30 is: 203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.32 : 366.11 = 147.30 : x
  2. Step 2: Convert to fraction form
    265.32/366.11 = 147.30/x
  3. Step 3: Cross multiply
    265.32x = 366.11 × 147.30
  4. Step 4: Simplify right side
    265.32x = 53,926.45
  5. Step 5: Solve for x
    x = 53,926.45/265.32
  6. Step 6: Final answer
    x = 203.25

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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.