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Finding the Fourth Proportional to 285.84, 428.32 and 141.64

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Solution

The fourth proportional to 285.84, 428.32 and 141.64 is: 212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 428.32 = 141.64 : x
  2. Step 2: Convert to fraction form
    285.84/428.32 = 141.64/x
  3. Step 3: Cross multiply
    285.84x = 428.32 × 141.64
  4. Step 4: Simplify right side
    285.84x = 60,667.24
  5. Step 5: Solve for x
    x = 60,667.24/285.84
  6. Step 6: Final answer
    x = 212.24

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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.