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Finding the Fourth Proportional to 251.51, 347.40 and 178.16

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Solution

The fourth proportional to 251.51, 347.40 and 178.16 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.51 : 347.40 = 178.16 : x
  2. Step 2: Convert to fraction form
    251.51/347.40 = 178.16/x
  3. Step 3: Cross multiply
    251.51x = 347.40 × 178.16
  4. Step 4: Simplify right side
    251.51x = 61,891.05
  5. Step 5: Solve for x
    x = 61,891.05/251.51
  6. Step 6: Final answer
    x = 246.08

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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.