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Finding the Fourth Proportional to 463.81, 695.46 and 155.50

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Solution

The fourth proportional to 463.81, 695.46 and 155.50 is: 233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.81 : 695.46 = 155.50 : x
  2. Step 2: Convert to fraction form
    463.81/695.46 = 155.50/x
  3. Step 3: Cross multiply
    463.81x = 695.46 × 155.50
  4. Step 4: Simplify right side
    463.81x = 108,144.03
  5. Step 5: Solve for x
    x = 108,144.03/463.81
  6. Step 6: Final answer
    x = 233.16

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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.