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Finding the Fourth Proportional to 189.08, 282.36 and 148.04

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Solution

The fourth proportional to 189.08, 282.36 and 148.04 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.08 : 282.36 = 148.04 : x
  2. Step 2: Convert to fraction form
    189.08/282.36 = 148.04/x
  3. Step 3: Cross multiply
    189.08x = 282.36 × 148.04
  4. Step 4: Simplify right side
    189.08x = 41,801.28
  5. Step 5: Solve for x
    x = 41,801.28/189.08
  6. Step 6: Final answer
    x = 221.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.