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Finding the Fourth Proportional to 309.45, 463.88 and 114.40

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Solution

The fourth proportional to 309.45, 463.88 and 114.40 is: 171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.45 : 463.88 = 114.40 : x
  2. Step 2: Convert to fraction form
    309.45/463.88 = 114.40/x
  3. Step 3: Cross multiply
    309.45x = 463.88 × 114.40
  4. Step 4: Simplify right side
    309.45x = 53,064.98
  5. Step 5: Solve for x
    x = 53,064.98/309.45
  6. Step 6: Final answer
    x = 171.48

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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.