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Finding the Fourth Proportional to 284.61, 426.93 and 79.18

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Solution

The fourth proportional to 284.61, 426.93 and 79.18 is: 118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 426.93 = 79.18 : x
  2. Step 2: Convert to fraction form
    284.61/426.93 = 79.18/x
  3. Step 3: Cross multiply
    284.61x = 426.93 × 79.18
  4. Step 4: Simplify right side
    284.61x = 33,804.15
  5. Step 5: Solve for x
    x = 33,804.15/284.61
  6. Step 6: Final answer
    x = 118.77

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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.