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Finding the Fourth Proportional to 245.67, 368.18 and 135.82

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Solution

The fourth proportional to 245.67, 368.18 and 135.82 is: 203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.67 : 368.18 = 135.82 : x
  2. Step 2: Convert to fraction form
    245.67/368.18 = 135.82/x
  3. Step 3: Cross multiply
    245.67x = 368.18 × 135.82
  4. Step 4: Simplify right side
    245.67x = 50,006.21
  5. Step 5: Solve for x
    x = 50,006.21/245.67
  6. Step 6: Final answer
    x = 203.55

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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.