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Finding the Fourth Proportional to 309.81, 464.57 and 117.30

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Solution

The fourth proportional to 309.81, 464.57 and 117.30 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 464.57 = 117.30 : x
  2. Step 2: Convert to fraction form
    309.81/464.57 = 117.30/x
  3. Step 3: Cross multiply
    309.81x = 464.57 × 117.30
  4. Step 4: Simplify right side
    309.81x = 54,494.06
  5. Step 5: Solve for x
    x = 54,494.06/309.81
  6. Step 6: Final answer
    x = 175.90

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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.