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Finding the Fourth Proportional to 322.63, 483.53 and 185.74

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Solution

The fourth proportional to 322.63, 483.53 and 185.74 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.63 : 483.53 = 185.74 : x
  2. Step 2: Convert to fraction form
    322.63/483.53 = 185.74/x
  3. Step 3: Cross multiply
    322.63x = 483.53 × 185.74
  4. Step 4: Simplify right side
    322.63x = 89,807.52
  5. Step 5: Solve for x
    x = 89,807.52/322.63
  6. Step 6: Final answer
    x = 278.37

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