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Finding the Fourth Proportional to 319.42, 478.49 and 182.07

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Solution

The fourth proportional to 319.42, 478.49 and 182.07 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.42 : 478.49 = 182.07 : x
  2. Step 2: Convert to fraction form
    319.42/478.49 = 182.07/x
  3. Step 3: Cross multiply
    319.42x = 478.49 × 182.07
  4. Step 4: Simplify right side
    319.42x = 87,117.76
  5. Step 5: Solve for x
    x = 87,117.76/319.42
  6. Step 6: Final answer
    x = 272.74

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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.