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Finding the Fourth Proportional to 235.32, 353 and 98.34

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Solution

The fourth proportional to 235.32, 353 and 98.34 is: 147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.32 : 353 = 98.34 : x
  2. Step 2: Convert to fraction form
    235.32/353 = 98.34/x
  3. Step 3: Cross multiply
    235.32x = 353 × 98.34
  4. Step 4: Simplify right side
    235.32x = 34,714.02
  5. Step 5: Solve for x
    x = 34,714.02/235.32
  6. Step 6: Final answer
    x = 147.52

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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.