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Finding the Fourth Proportional to 491.78, 737.46 and 167.06

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Solution

The fourth proportional to 491.78, 737.46 and 167.06 is: 250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.78 : 737.46 = 167.06 : x
  2. Step 2: Convert to fraction form
    491.78/737.46 = 167.06/x
  3. Step 3: Cross multiply
    491.78x = 737.46 × 167.06
  4. Step 4: Simplify right side
    491.78x = 123,200.07
  5. Step 5: Solve for x
    x = 123,200.07/491.78
  6. Step 6: Final answer
    x = 250.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.