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Finding the Fourth Proportional to 253.70, 349.94 and 154.07

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Solution

The fourth proportional to 253.70, 349.94 and 154.07 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.70 : 349.94 = 154.07 : x
  2. Step 2: Convert to fraction form
    253.70/349.94 = 154.07/x
  3. Step 3: Cross multiply
    253.70x = 349.94 × 154.07
  4. Step 4: Simplify right side
    253.70x = 53,913.89
  5. Step 5: Solve for x
    x = 53,913.89/253.70
  6. Step 6: Final answer
    x = 212.51

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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.