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Finding the Fourth Proportional to 400.84, 601.02 and 144.40

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Solution

The fourth proportional to 400.84, 601.02 and 144.40 is: 216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.84 : 601.02 = 144.40 : x
  2. Step 2: Convert to fraction form
    400.84/601.02 = 144.40/x
  3. Step 3: Cross multiply
    400.84x = 601.02 × 144.40
  4. Step 4: Simplify right side
    400.84x = 86,787.29
  5. Step 5: Solve for x
    x = 86,787.29/400.84
  6. Step 6: Final answer
    x = 216.51

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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.