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Finding the Fourth Proportional to 261.54, 360.96 and 188.10

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Solution

The fourth proportional to 261.54, 360.96 and 188.10 is: 259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 360.96 = 188.10 : x
  2. Step 2: Convert to fraction form
    261.54/360.96 = 188.10/x
  3. Step 3: Cross multiply
    261.54x = 360.96 × 188.10
  4. Step 4: Simplify right side
    261.54x = 67,896.58
  5. Step 5: Solve for x
    x = 67,896.58/261.54
  6. Step 6: Final answer
    x = 259.60

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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.