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Finding the Fourth Proportional to 285.66, 428.69 and 131.66

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Solution

The fourth proportional to 285.66, 428.69 and 131.66 is: 197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 428.69 = 131.66 : x
  2. Step 2: Convert to fraction form
    285.66/428.69 = 131.66/x
  3. Step 3: Cross multiply
    285.66x = 428.69 × 131.66
  4. Step 4: Simplify right side
    285.66x = 56,441.12
  5. Step 5: Solve for x
    x = 56,441.12/285.66
  6. Step 6: Final answer
    x = 197.58

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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.