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Finding the Fourth Proportional to 265.18, 365.90 and 148.74

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Solution

The fourth proportional to 265.18, 365.90 and 148.74 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.18 : 365.90 = 148.74 : x
  2. Step 2: Convert to fraction form
    265.18/365.90 = 148.74/x
  3. Step 3: Cross multiply
    265.18x = 365.90 × 148.74
  4. Step 4: Simplify right side
    265.18x = 54,423.97
  5. Step 5: Solve for x
    x = 54,423.97/265.18
  6. Step 6: Final answer
    x = 205.23

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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.