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Finding the Fourth Proportional to 287.18, 430.80 and 81.76

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Solution

The fourth proportional to 287.18, 430.80 and 81.76 is: 122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.18 : 430.80 = 81.76 : x
  2. Step 2: Convert to fraction form
    287.18/430.80 = 81.76/x
  3. Step 3: Cross multiply
    287.18x = 430.80 × 81.76
  4. Step 4: Simplify right side
    287.18x = 35,222.21
  5. Step 5: Solve for x
    x = 35,222.21/287.18
  6. Step 6: Final answer
    x = 122.65

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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.