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Finding the Fourth Proportional to 337.12, 505.77 and 120.71

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Solution

The fourth proportional to 337.12, 505.77 and 120.71 is: 181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 505.77 = 120.71 : x
  2. Step 2: Convert to fraction form
    337.12/505.77 = 120.71/x
  3. Step 3: Cross multiply
    337.12x = 505.77 × 120.71
  4. Step 4: Simplify right side
    337.12x = 61,051.50
  5. Step 5: Solve for x
    x = 61,051.50/337.12
  6. Step 6: Final answer
    x = 181.10

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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.