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Finding the Fourth Proportional to 283.84, 425.75 and 146.81

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Solution

The fourth proportional to 283.84, 425.75 and 146.81 is: 220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 425.75 = 146.81 : x
  2. Step 2: Convert to fraction form
    283.84/425.75 = 146.81/x
  3. Step 3: Cross multiply
    283.84x = 425.75 × 146.81
  4. Step 4: Simplify right side
    283.84x = 62,504.36
  5. Step 5: Solve for x
    x = 62,504.36/283.84
  6. Step 6: Final answer
    x = 220.21

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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.