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Finding the Fourth Proportional to 469.13, 703.76 and 144.45

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Solution

The fourth proportional to 469.13, 703.76 and 144.45 is: 216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 703.76 = 144.45 : x
  2. Step 2: Convert to fraction form
    469.13/703.76 = 144.45/x
  3. Step 3: Cross multiply
    469.13x = 703.76 × 144.45
  4. Step 4: Simplify right side
    469.13x = 101,657.41
  5. Step 5: Solve for x
    x = 101,657.41/469.13
  6. Step 6: Final answer
    x = 216.70

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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.