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Finding the Fourth Proportional to 230.22, 317.74 and 136.93

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Solution

The fourth proportional to 230.22, 317.74 and 136.93 is: 188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.22 : 317.74 = 136.93 : x
  2. Step 2: Convert to fraction form
    230.22/317.74 = 136.93/x
  3. Step 3: Cross multiply
    230.22x = 317.74 × 136.93
  4. Step 4: Simplify right side
    230.22x = 43,508.14
  5. Step 5: Solve for x
    x = 43,508.14/230.22
  6. Step 6: Final answer
    x = 188.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.