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Finding the Fourth Proportional to 189.01, 260.56 and 133.58

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Solution

The fourth proportional to 189.01, 260.56 and 133.58 is: 184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.01 : 260.56 = 133.58 : x
  2. Step 2: Convert to fraction form
    189.01/260.56 = 133.58/x
  3. Step 3: Cross multiply
    189.01x = 260.56 × 133.58
  4. Step 4: Simplify right side
    189.01x = 34,805.60
  5. Step 5: Solve for x
    x = 34,805.60/189.01
  6. Step 6: Final answer
    x = 184.15

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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.