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Finding the Fourth Proportional to 524.68, 786.81 and 177.95

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Solution

The fourth proportional to 524.68, 786.81 and 177.95 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.68 : 786.81 = 177.95 : x
  2. Step 2: Convert to fraction form
    524.68/786.81 = 177.95/x
  3. Step 3: Cross multiply
    524.68x = 786.81 × 177.95
  4. Step 4: Simplify right side
    524.68x = 140,015.47
  5. Step 5: Solve for x
    x = 140,015.47/524.68
  6. Step 6: Final answer
    x = 266.86

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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.