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Finding the Fourth Proportional to 464.42, 696.60 and 139.78

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Solution

The fourth proportional to 464.42, 696.60 and 139.78 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 696.60 = 139.78 : x
  2. Step 2: Convert to fraction form
    464.42/696.60 = 139.78/x
  3. Step 3: Cross multiply
    464.42x = 696.60 × 139.78
  4. Step 4: Simplify right side
    464.42x = 97,370.75
  5. Step 5: Solve for x
    x = 97,370.75/464.42
  6. Step 6: Final answer
    x = 209.66

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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.