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Finding the Fourth Proportional to 284.55, 426.81 and 92.16

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Solution

The fourth proportional to 284.55, 426.81 and 92.16 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 426.81 = 92.16 : x
  2. Step 2: Convert to fraction form
    284.55/426.81 = 92.16/x
  3. Step 3: Cross multiply
    284.55x = 426.81 × 92.16
  4. Step 4: Simplify right side
    284.55x = 39,334.81
  5. Step 5: Solve for x
    x = 39,334.81/284.55
  6. Step 6: Final answer
    x = 138.24

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Why These Related Problems?

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