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Finding the Fourth Proportional to 464.06, 696.06 and 139.42

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Solution

The fourth proportional to 464.06, 696.06 and 139.42 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 696.06 = 139.42 : x
  2. Step 2: Convert to fraction form
    464.06/696.06 = 139.42/x
  3. Step 3: Cross multiply
    464.06x = 696.06 × 139.42
  4. Step 4: Simplify right side
    464.06x = 97,044.69
  5. Step 5: Solve for x
    x = 97,044.69/464.06
  6. Step 6: Final answer
    x = 209.12

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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.