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Finding the Fourth Proportional to 235.07, 353.00 and 153.86

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Solution

The fourth proportional to 235.07, 353.00 and 153.86 is: 231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.07 : 353.00 = 153.86 : x
  2. Step 2: Convert to fraction form
    235.07/353.00 = 153.86/x
  3. Step 3: Cross multiply
    235.07x = 353.00 × 153.86
  4. Step 4: Simplify right side
    235.07x = 54,312.69
  5. Step 5: Solve for x
    x = 54,312.69/235.07
  6. Step 6: Final answer
    x = 231.05

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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.