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Finding the Fourth Proportional to 253.17, 349.29 and 149.67

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Solution

The fourth proportional to 253.17, 349.29 and 149.67 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.17 : 349.29 = 149.67 : x
  2. Step 2: Convert to fraction form
    253.17/349.29 = 149.67/x
  3. Step 3: Cross multiply
    253.17x = 349.29 × 149.67
  4. Step 4: Simplify right side
    253.17x = 52,278.23
  5. Step 5: Solve for x
    x = 52,278.23/253.17
  6. Step 6: Final answer
    x = 206.49

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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.