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Finding the Fourth Proportional to 225.22, 337.95 and 96.98

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Solution

The fourth proportional to 225.22, 337.95 and 96.98 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.22 : 337.95 = 96.98 : x
  2. Step 2: Convert to fraction form
    225.22/337.95 = 96.98/x
  3. Step 3: Cross multiply
    225.22x = 337.95 × 96.98
  4. Step 4: Simplify right side
    225.22x = 32,774.39
  5. Step 5: Solve for x
    x = 32,774.39/225.22
  6. Step 6: Final answer
    x = 145.52

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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.