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Finding the Fourth Proportional to 261.69, 360.96 and 188.12

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Solution

The fourth proportional to 261.69, 360.96 and 188.12 is: 259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.69 : 360.96 = 188.12 : x
  2. Step 2: Convert to fraction form
    261.69/360.96 = 188.12/x
  3. Step 3: Cross multiply
    261.69x = 360.96 × 188.12
  4. Step 4: Simplify right side
    261.69x = 67,901.99
  5. Step 5: Solve for x
    x = 67,901.99/261.69
  6. Step 6: Final answer
    x = 259.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.