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Finding the Fourth Proportional to 235.90, 354.02 and 159.01

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Solution

The fourth proportional to 235.90, 354.02 and 159.01 is: 238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 354.02 = 159.01 : x
  2. Step 2: Convert to fraction form
    235.90/354.02 = 159.01/x
  3. Step 3: Cross multiply
    235.90x = 354.02 × 159.01
  4. Step 4: Simplify right side
    235.90x = 56,293.93
  5. Step 5: Solve for x
    x = 56,293.93/235.90
  6. Step 6: Final answer
    x = 238.63

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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.