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Finding the Fourth Proportional to 337.15, 505.77 and 106.06

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Solution

The fourth proportional to 337.15, 505.77 and 106.06 is: 159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.15 : 505.77 = 106.06 : x
  2. Step 2: Convert to fraction form
    337.15/505.77 = 106.06/x
  3. Step 3: Cross multiply
    337.15x = 505.77 × 106.06
  4. Step 4: Simplify right side
    337.15x = 53,641.97
  5. Step 5: Solve for x
    x = 53,641.97/337.15
  6. Step 6: Final answer
    x = 159.10

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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.