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Finding the Fourth Proportional to 238.91, 358.22 and 117.02

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Solution

The fourth proportional to 238.91, 358.22 and 117.02 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.91 : 358.22 = 117.02 : x
  2. Step 2: Convert to fraction form
    238.91/358.22 = 117.02/x
  3. Step 3: Cross multiply
    238.91x = 358.22 × 117.02
  4. Step 4: Simplify right side
    238.91x = 41,918.90
  5. Step 5: Solve for x
    x = 41,918.90/238.91
  6. Step 6: Final answer
    x = 175.46

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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.