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Finding the Fourth Proportional to 253.07, 349.25 and 153.51

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Solution

The fourth proportional to 253.07, 349.25 and 153.51 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.07 : 349.25 = 153.51 : x
  2. Step 2: Convert to fraction form
    253.07/349.25 = 153.51/x
  3. Step 3: Cross multiply
    253.07x = 349.25 × 153.51
  4. Step 4: Simplify right side
    253.07x = 53,612.60
  5. Step 5: Solve for x
    x = 53,612.60/253.07
  6. Step 6: Final answer
    x = 211.85

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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.