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Finding the Fourth Proportional to 284.09, 425.88 and 162.18

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Solution

The fourth proportional to 284.09, 425.88 and 162.18 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.09 : 425.88 = 162.18 : x
  2. Step 2: Convert to fraction form
    284.09/425.88 = 162.18/x
  3. Step 3: Cross multiply
    284.09x = 425.88 × 162.18
  4. Step 4: Simplify right side
    284.09x = 69,069.22
  5. Step 5: Solve for x
    x = 69,069.22/284.09
  6. Step 6: Final answer
    x = 243.13

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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.