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Finding the Fourth Proportional to 463.86, 695.68 and 190.15

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Solution

The fourth proportional to 463.86, 695.68 and 190.15 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 695.68 = 190.15 : x
  2. Step 2: Convert to fraction form
    463.86/695.68 = 190.15/x
  3. Step 3: Cross multiply
    463.86x = 695.68 × 190.15
  4. Step 4: Simplify right side
    463.86x = 132,282.27
  5. Step 5: Solve for x
    x = 132,282.27/463.86
  6. Step 6: Final answer
    x = 285.17

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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.