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Finding the Fourth Proportional to 285.50, 428.16 and 123.14

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Solution

The fourth proportional to 285.50, 428.16 and 123.14 is: 184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.50 : 428.16 = 123.14 : x
  2. Step 2: Convert to fraction form
    285.50/428.16 = 123.14/x
  3. Step 3: Cross multiply
    285.50x = 428.16 × 123.14
  4. Step 4: Simplify right side
    285.50x = 52,721.48
  5. Step 5: Solve for x
    x = 52,721.48/285.50
  6. Step 6: Final answer
    x = 184.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.