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Finding the Fourth Proportional to 468.64, 703.10 and 144.03

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Solution

The fourth proportional to 468.64, 703.10 and 144.03 is: 216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 703.10 = 144.03 : x
  2. Step 2: Convert to fraction form
    468.64/703.10 = 144.03/x
  3. Step 3: Cross multiply
    468.64x = 703.10 × 144.03
  4. Step 4: Simplify right side
    468.64x = 101,267.49
  5. Step 5: Solve for x
    x = 101,267.49/468.64
  6. Step 6: Final answer
    x = 216.09

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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.