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Finding the Fourth Proportional to 283.81, 425.57 and 174.19

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Solution

The fourth proportional to 283.81, 425.57 and 174.19 is: 261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.81 : 425.57 = 174.19 : x
  2. Step 2: Convert to fraction form
    283.81/425.57 = 174.19/x
  3. Step 3: Cross multiply
    283.81x = 425.57 × 174.19
  4. Step 4: Simplify right side
    283.81x = 74,130.04
  5. Step 5: Solve for x
    x = 74,130.04/283.81
  6. Step 6: Final answer
    x = 261.20

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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.