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Finding the Fourth Proportional to 319.56, 479.08 and 197.58

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Solution

The fourth proportional to 319.56, 479.08 and 197.58 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.56 : 479.08 = 197.58 : x
  2. Step 2: Convert to fraction form
    319.56/479.08 = 197.58/x
  3. Step 3: Cross multiply
    319.56x = 479.08 × 197.58
  4. Step 4: Simplify right side
    319.56x = 94,656.63
  5. Step 5: Solve for x
    x = 94,656.63/319.56
  6. Step 6: Final answer
    x = 296.21

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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.