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Finding the Fourth Proportional to 189.78, 261.75 and 127.50

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Solution

The fourth proportional to 189.78, 261.75 and 127.50 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 261.75 = 127.50 : x
  2. Step 2: Convert to fraction form
    189.78/261.75 = 127.50/x
  3. Step 3: Cross multiply
    189.78x = 261.75 × 127.50
  4. Step 4: Simplify right side
    189.78x = 33,373.13
  5. Step 5: Solve for x
    x = 33,373.13/189.78
  6. Step 6: Final answer
    x = 175.85

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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.