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Finding the Fourth Proportional to 283.66, 425.69 and 162.16

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Solution

The fourth proportional to 283.66, 425.69 and 162.16 is: 243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.66 : 425.69 = 162.16 : x
  2. Step 2: Convert to fraction form
    283.66/425.69 = 162.16/x
  3. Step 3: Cross multiply
    283.66x = 425.69 × 162.16
  4. Step 4: Simplify right side
    283.66x = 69,026.95
  5. Step 5: Solve for x
    x = 69,026.95/283.66
  6. Step 6: Final answer
    x = 243.35

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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.