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Finding the Fourth Proportional to 265.65, 366.59 and 147.63

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Solution

The fourth proportional to 265.65, 366.59 and 147.63 is: 203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 366.59 = 147.63 : x
  2. Step 2: Convert to fraction form
    265.65/366.59 = 147.63/x
  3. Step 3: Cross multiply
    265.65x = 366.59 × 147.63
  4. Step 4: Simplify right side
    265.65x = 54,119.68
  5. Step 5: Solve for x
    x = 54,119.68/265.65
  6. Step 6: Final answer
    x = 203.73

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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.