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Finding the Fourth Proportional to 387.69, 581.25 and 144.22

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Solution

The fourth proportional to 387.69, 581.25 and 144.22 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.69 : 581.25 = 144.22 : x
  2. Step 2: Convert to fraction form
    387.69/581.25 = 144.22/x
  3. Step 3: Cross multiply
    387.69x = 581.25 × 144.22
  4. Step 4: Simplify right side
    387.69x = 83,827.88
  5. Step 5: Solve for x
    x = 83,827.88/387.69
  6. Step 6: Final answer
    x = 216.22

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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.