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Finding the Fourth Proportional to 464.14, 696.20 and 139.50

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Solution

The fourth proportional to 464.14, 696.20 and 139.50 is: 209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 696.20 = 139.50 : x
  2. Step 2: Convert to fraction form
    464.14/696.20 = 139.50/x
  3. Step 3: Cross multiply
    464.14x = 696.20 × 139.50
  4. Step 4: Simplify right side
    464.14x = 97,119.20
  5. Step 5: Solve for x
    x = 97,119.20/464.14
  6. Step 6: Final answer
    x = 209.24

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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.