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Finding the Fourth Proportional to 283.44, 424.34 and 146.16

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Solution

The fourth proportional to 283.44, 424.34 and 146.16 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.44 : 424.34 = 146.16 : x
  2. Step 2: Convert to fraction form
    283.44/424.34 = 146.16/x
  3. Step 3: Cross multiply
    283.44x = 424.34 × 146.16
  4. Step 4: Simplify right side
    283.44x = 62,021.53
  5. Step 5: Solve for x
    x = 62,021.53/283.44
  6. Step 6: Final answer
    x = 218.82

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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.