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Finding the Fourth Proportional to 261.48, 360.96 and 188.16

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Solution

The fourth proportional to 261.48, 360.96 and 188.16 is: 259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 360.96 = 188.16 : x
  2. Step 2: Convert to fraction form
    261.48/360.96 = 188.16/x
  3. Step 3: Cross multiply
    261.48x = 360.96 × 188.16
  4. Step 4: Simplify right side
    261.48x = 67,918.23
  5. Step 5: Solve for x
    x = 67,918.23/261.48
  6. Step 6: Final answer
    x = 259.75

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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.