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Finding the Fourth Proportional to 284.66, 425.91 and 162.98

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Solution

The fourth proportional to 284.66, 425.91 and 162.98 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.66 : 425.91 = 162.98 : x
  2. Step 2: Convert to fraction form
    284.66/425.91 = 162.98/x
  3. Step 3: Cross multiply
    284.66x = 425.91 × 162.98
  4. Step 4: Simplify right side
    284.66x = 69,414.81
  5. Step 5: Solve for x
    x = 69,414.81/284.66
  6. Step 6: Final answer
    x = 243.85

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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.