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Finding the Fourth Proportional to 309.36, 464.14 and 117

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Solution

The fourth proportional to 309.36, 464.14 and 117 is: 175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.36 : 464.14 = 117 : x
  2. Step 2: Convert to fraction form
    309.36/464.14 = 117/x
  3. Step 3: Cross multiply
    309.36x = 464.14 × 117
  4. Step 4: Simplify right side
    309.36x = 54,304.38
  5. Step 5: Solve for x
    x = 54,304.38/309.36
  6. Step 6: Final answer
    x = 175.54

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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.