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Finding the Fourth Proportional to 243.67, 336.18 and 145.45

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Solution

The fourth proportional to 243.67, 336.18 and 145.45 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.67 : 336.18 = 145.45 : x
  2. Step 2: Convert to fraction form
    243.67/336.18 = 145.45/x
  3. Step 3: Cross multiply
    243.67x = 336.18 × 145.45
  4. Step 4: Simplify right side
    243.67x = 48,897.38
  5. Step 5: Solve for x
    x = 48,897.38/243.67
  6. Step 6: Final answer
    x = 200.67

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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.