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Finding the Fourth Proportional to 320.66, 480.59 and 157.98

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Solution

The fourth proportional to 320.66, 480.59 and 157.98 is: 236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.66 : 480.59 = 157.98 : x
  2. Step 2: Convert to fraction form
    320.66/480.59 = 157.98/x
  3. Step 3: Cross multiply
    320.66x = 480.59 × 157.98
  4. Step 4: Simplify right side
    320.66x = 75,923.61
  5. Step 5: Solve for x
    x = 75,923.61/320.66
  6. Step 6: Final answer
    x = 236.77

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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.