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Finding the Fourth Proportional to 445.48, 668.38 and 156.76

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Solution

The fourth proportional to 445.48, 668.38 and 156.76 is: 235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.48 : 668.38 = 156.76 : x
  2. Step 2: Convert to fraction form
    445.48/668.38 = 156.76/x
  3. Step 3: Cross multiply
    445.48x = 668.38 × 156.76
  4. Step 4: Simplify right side
    445.48x = 104,775.25
  5. Step 5: Solve for x
    x = 104,775.25/445.48
  6. Step 6: Final answer
    x = 235.20

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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.