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Finding the Fourth Proportional to 467.51, 701.53 and 189.80

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Solution

The fourth proportional to 467.51, 701.53 and 189.80 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.51 : 701.53 = 189.80 : x
  2. Step 2: Convert to fraction form
    467.51/701.53 = 189.80/x
  3. Step 3: Cross multiply
    467.51x = 701.53 × 189.80
  4. Step 4: Simplify right side
    467.51x = 133,149.45
  5. Step 5: Solve for x
    x = 133,149.45/467.51
  6. Step 6: Final answer
    x = 284.81

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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.