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Finding the Fourth Proportional to 464.17, 696.31 and 139.54

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Solution

The fourth proportional to 464.17, 696.31 and 139.54 is: 209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.17 : 696.31 = 139.54 : x
  2. Step 2: Convert to fraction form
    464.17/696.31 = 139.54/x
  3. Step 3: Cross multiply
    464.17x = 696.31 × 139.54
  4. Step 4: Simplify right side
    464.17x = 97,159.57
  5. Step 5: Solve for x
    x = 97,159.57/464.17
  6. Step 6: Final answer
    x = 209.32

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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.