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Finding the Fourth Proportional to 265.10, 362.59 and 260.85

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Solution

The fourth proportional to 265.10, 362.59 and 260.85 is: 356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.10 : 362.59 = 260.85 : x
  2. Step 2: Convert to fraction form
    265.10/362.59 = 260.85/x
  3. Step 3: Cross multiply
    265.10x = 362.59 × 260.85
  4. Step 4: Simplify right side
    265.10x = 94,581.60
  5. Step 5: Solve for x
    x = 94,581.60/265.10
  6. Step 6: Final answer
    x = 356.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.