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Finding the Fourth Proportional to 309.51, 464.09 and 117.09

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Solution

The fourth proportional to 309.51, 464.09 and 117.09 is: 175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 464.09 = 117.09 : x
  2. Step 2: Convert to fraction form
    309.51/464.09 = 117.09/x
  3. Step 3: Cross multiply
    309.51x = 464.09 × 117.09
  4. Step 4: Simplify right side
    309.51x = 54,339.71
  5. Step 5: Solve for x
    x = 54,339.71/309.51
  6. Step 6: Final answer
    x = 175.57

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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.