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Finding the Fourth Proportional to 285.98, 429 and 141.74

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Solution

The fourth proportional to 285.98, 429 and 141.74 is: 212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.98 : 429 = 141.74 : x
  2. Step 2: Convert to fraction form
    285.98/429 = 141.74/x
  3. Step 3: Cross multiply
    285.98x = 429 × 141.74
  4. Step 4: Simplify right side
    285.98x = 60,806.46
  5. Step 5: Solve for x
    x = 60,806.46/285.98
  6. Step 6: Final answer
    x = 212.62

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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.