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Finding the Fourth Proportional to 463.70, 695.54 and 139.08

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Solution

The fourth proportional to 463.70, 695.54 and 139.08 is: 208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.70 : 695.54 = 139.08 : x
  2. Step 2: Convert to fraction form
    463.70/695.54 = 139.08/x
  3. Step 3: Cross multiply
    463.70x = 695.54 × 139.08
  4. Step 4: Simplify right side
    463.70x = 96,735.01
  5. Step 5: Solve for x
    x = 96,735.01/463.70
  6. Step 6: Final answer
    x = 208.62

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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.