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Finding the Fourth Proportional to 309.67, 463.70 and 170.53

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Solution

The fourth proportional to 309.67, 463.70 and 170.53 is: 255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.67 : 463.70 = 170.53 : x
  2. Step 2: Convert to fraction form
    309.67/463.70 = 170.53/x
  3. Step 3: Cross multiply
    309.67x = 463.70 × 170.53
  4. Step 4: Simplify right side
    309.67x = 79,073.91
  5. Step 5: Solve for x
    x = 79,073.91/309.67
  6. Step 6: Final answer
    x = 255.35

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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.