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Finding the Fourth Proportional to 287.10, 430.82 and 122.56

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Solution

The fourth proportional to 287.10, 430.82 and 122.56 is: 183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.10 : 430.82 = 122.56 : x
  2. Step 2: Convert to fraction form
    287.10/430.82 = 122.56/x
  3. Step 3: Cross multiply
    287.10x = 430.82 × 122.56
  4. Step 4: Simplify right side
    287.10x = 52,801.57
  5. Step 5: Solve for x
    x = 52,801.57/287.10
  6. Step 6: Final answer
    x = 183.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.