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Finding the Fourth Proportional to 478.82, 718.02 and 149.67

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Solution

The fourth proportional to 478.82, 718.02 and 149.67 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.82 : 718.02 = 149.67 : x
  2. Step 2: Convert to fraction form
    478.82/718.02 = 149.67/x
  3. Step 3: Cross multiply
    478.82x = 718.02 × 149.67
  4. Step 4: Simplify right side
    478.82x = 107,464.26
  5. Step 5: Solve for x
    x = 107,464.26/478.82
  6. Step 6: Final answer
    x = 224.44

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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.