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Finding the Fourth Proportional to 333.84, 500.58 and 141.42

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Solution

The fourth proportional to 333.84, 500.58 and 141.42 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 500.58 = 141.42 : x
  2. Step 2: Convert to fraction form
    333.84/500.58 = 141.42/x
  3. Step 3: Cross multiply
    333.84x = 500.58 × 141.42
  4. Step 4: Simplify right side
    333.84x = 70,792.02
  5. Step 5: Solve for x
    x = 70,792.02/333.84
  6. Step 6: Final answer
    x = 212.05

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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.