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Finding the Fourth Proportional to 309.16, 463.68 and 103.66

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Solution

The fourth proportional to 309.16, 463.68 and 103.66 is: 155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.16 : 463.68 = 103.66 : x
  2. Step 2: Convert to fraction form
    309.16/463.68 = 103.66/x
  3. Step 3: Cross multiply
    309.16x = 463.68 × 103.66
  4. Step 4: Simplify right side
    309.16x = 48,065.07
  5. Step 5: Solve for x
    x = 48,065.07/309.16
  6. Step 6: Final answer
    x = 155.47

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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.