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Finding the Fourth Proportional to 319.24, 478.78 and 145.84

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Solution

The fourth proportional to 319.24, 478.78 and 145.84 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 478.78 = 145.84 : x
  2. Step 2: Convert to fraction form
    319.24/478.78 = 145.84/x
  3. Step 3: Cross multiply
    319.24x = 478.78 × 145.84
  4. Step 4: Simplify right side
    319.24x = 69,825.28
  5. Step 5: Solve for x
    x = 69,825.28/319.24
  6. Step 6: Final answer
    x = 218.72

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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.