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Finding the Fourth Proportional to 468.90, 703.13 and 144.09

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Solution

The fourth proportional to 468.90, 703.13 and 144.09 is: 216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.90 : 703.13 = 144.09 : x
  2. Step 2: Convert to fraction form
    468.90/703.13 = 144.09/x
  3. Step 3: Cross multiply
    468.90x = 703.13 × 144.09
  4. Step 4: Simplify right side
    468.90x = 101,313.28
  5. Step 5: Solve for x
    x = 101,313.28/468.90
  6. Step 6: Final answer
    x = 216.07

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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.