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Finding the Fourth Proportional to 238.96, 358.52 and 156.72

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Solution

The fourth proportional to 238.96, 358.52 and 156.72 is: 235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 358.52 = 156.72 : x
  2. Step 2: Convert to fraction form
    238.96/358.52 = 156.72/x
  3. Step 3: Cross multiply
    238.96x = 358.52 × 156.72
  4. Step 4: Simplify right side
    238.96x = 56,187.25
  5. Step 5: Solve for x
    x = 56,187.25/238.96
  6. Step 6: Final answer
    x = 235.13

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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.