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Finding the Fourth Proportional to 261.10, 360.74 and 258.54

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Solution

The fourth proportional to 261.10, 360.74 and 258.54 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.10 : 360.74 = 258.54 : x
  2. Step 2: Convert to fraction form
    261.10/360.74 = 258.54/x
  3. Step 3: Cross multiply
    261.10x = 360.74 × 258.54
  4. Step 4: Simplify right side
    261.10x = 93,265.72
  5. Step 5: Solve for x
    x = 93,265.72/261.10
  6. Step 6: Final answer
    x = 357.20

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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.