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Finding the Fourth Proportional to 283.34, 424.82 and 146.12

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Solution

The fourth proportional to 283.34, 424.82 and 146.12 is: 219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.34 : 424.82 = 146.12 : x
  2. Step 2: Convert to fraction form
    283.34/424.82 = 146.12/x
  3. Step 3: Cross multiply
    283.34x = 424.82 × 146.12
  4. Step 4: Simplify right side
    283.34x = 62,071.84
  5. Step 5: Solve for x
    x = 62,071.84/283.34
  6. Step 6: Final answer
    x = 219.08

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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.