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Finding the Fourth Proportional to 309.56, 464.42 and 117.19

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Solution

The fourth proportional to 309.56, 464.42 and 117.19 is: 175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 464.42 = 117.19 : x
  2. Step 2: Convert to fraction form
    309.56/464.42 = 117.19/x
  3. Step 3: Cross multiply
    309.56x = 464.42 × 117.19
  4. Step 4: Simplify right side
    309.56x = 54,423.63
  5. Step 5: Solve for x
    x = 54,423.63/309.56
  6. Step 6: Final answer
    x = 175.81

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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.