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Finding the Fourth Proportional to 283.49, 424.47 and 146.50

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Solution

The fourth proportional to 283.49, 424.47 and 146.50 is: 219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.49 : 424.47 = 146.50 : x
  2. Step 2: Convert to fraction form
    283.49/424.47 = 146.50/x
  3. Step 3: Cross multiply
    283.49x = 424.47 × 146.50
  4. Step 4: Simplify right side
    283.49x = 62,184.86
  5. Step 5: Solve for x
    x = 62,184.86/283.49
  6. Step 6: Final answer
    x = 219.35

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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.