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Finding the Fourth Proportional to 524.16, 786.05 and 153.86

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Solution

The fourth proportional to 524.16, 786.05 and 153.86 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 786.05 = 153.86 : x
  2. Step 2: Convert to fraction form
    524.16/786.05 = 153.86/x
  3. Step 3: Cross multiply
    524.16x = 786.05 × 153.86
  4. Step 4: Simplify right side
    524.16x = 120,944.00
  5. Step 5: Solve for x
    x = 120,944.00/524.16
  6. Step 6: Final answer
    x = 230.74

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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.