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Finding the Fourth Proportional to 265.22, 366.00 and 147.20

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Solution

The fourth proportional to 265.22, 366.00 and 147.20 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 366.00 = 147.20 : x
  2. Step 2: Convert to fraction form
    265.22/366.00 = 147.20/x
  3. Step 3: Cross multiply
    265.22x = 366.00 × 147.20
  4. Step 4: Simplify right side
    265.22x = 53,872.63
  5. Step 5: Solve for x
    x = 53,872.63/265.22
  6. Step 6: Final answer
    x = 203.13

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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.