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Finding the Fourth Proportional to 319.80, 478.88 and 157.08

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Solution

The fourth proportional to 319.80, 478.88 and 157.08 is: 235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 478.88 = 157.08 : x
  2. Step 2: Convert to fraction form
    319.80/478.88 = 157.08/x
  3. Step 3: Cross multiply
    319.80x = 478.88 × 157.08
  4. Step 4: Simplify right side
    319.80x = 75,222.47
  5. Step 5: Solve for x
    x = 75,222.47/319.80
  6. Step 6: Final answer
    x = 235.22

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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.