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Finding the Fourth Proportional to 238.08, 358.72 and 215.28

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Solution

The fourth proportional to 238.08, 358.72 and 215.28 is: 324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.08 : 358.72 = 215.28 : x
  2. Step 2: Convert to fraction form
    238.08/358.72 = 215.28/x
  3. Step 3: Cross multiply
    238.08x = 358.72 × 215.28
  4. Step 4: Simplify right side
    238.08x = 77,225.24
  5. Step 5: Solve for x
    x = 77,225.24/238.08
  6. Step 6: Final answer
    x = 324.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.