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Finding the Fourth Proportional to 285.42, 427.87 and 123.21

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Solution

The fourth proportional to 285.42, 427.87 and 123.21 is: 184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.42 : 427.87 = 123.21 : x
  2. Step 2: Convert to fraction form
    285.42/427.87 = 123.21/x
  3. Step 3: Cross multiply
    285.42x = 427.87 × 123.21
  4. Step 4: Simplify right side
    285.42x = 52,717.86
  5. Step 5: Solve for x
    x = 52,717.86/285.42
  6. Step 6: Final answer
    x = 184.70

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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.