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Finding the Fourth Proportional to 245.84, 339.20 and 158.50

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Solution

The fourth proportional to 245.84, 339.20 and 158.50 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.84 : 339.20 = 158.50 : x
  2. Step 2: Convert to fraction form
    245.84/339.20 = 158.50/x
  3. Step 3: Cross multiply
    245.84x = 339.20 × 158.50
  4. Step 4: Simplify right side
    245.84x = 53,761.50
  5. Step 5: Solve for x
    x = 53,761.50/245.84
  6. Step 6: Final answer
    x = 218.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.