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Finding the Fourth Proportional to 491.52, 737.40 and 149.52

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Solution

The fourth proportional to 491.52, 737.40 and 149.52 is: 224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 737.40 = 149.52 : x
  2. Step 2: Convert to fraction form
    491.52/737.40 = 149.52/x
  3. Step 3: Cross multiply
    491.52x = 737.40 × 149.52
  4. Step 4: Simplify right side
    491.52x = 110,256.05
  5. Step 5: Solve for x
    x = 110,256.05/491.52
  6. Step 6: Final answer
    x = 224.32

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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.