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Finding the Fourth Proportional to 189.24, 261.15 and 110.52

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Solution

The fourth proportional to 189.24, 261.15 and 110.52 is: 152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 261.15 = 110.52 : x
  2. Step 2: Convert to fraction form
    189.24/261.15 = 110.52/x
  3. Step 3: Cross multiply
    189.24x = 261.15 × 110.52
  4. Step 4: Simplify right side
    189.24x = 28,862.30
  5. Step 5: Solve for x
    x = 28,862.30/189.24
  6. Step 6: Final answer
    x = 152.52

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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.