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Finding the Fourth Proportional to 265.09, 365.85 and 148.66

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Solution

The fourth proportional to 265.09, 365.85 and 148.66 is: 205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.09 : 365.85 = 148.66 : x
  2. Step 2: Convert to fraction form
    265.09/365.85 = 148.66/x
  3. Step 3: Cross multiply
    265.09x = 365.85 × 148.66
  4. Step 4: Simplify right side
    265.09x = 54,387.26
  5. Step 5: Solve for x
    x = 54,387.26/265.09
  6. Step 6: Final answer
    x = 205.17

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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.