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Finding the Fourth Proportional to 301.84, 452.14 and 233.12

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Solution

The fourth proportional to 301.84, 452.14 and 233.12 is: 349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 452.14 = 233.12 : x
  2. Step 2: Convert to fraction form
    301.84/452.14 = 233.12/x
  3. Step 3: Cross multiply
    301.84x = 452.14 × 233.12
  4. Step 4: Simplify right side
    301.84x = 105,402.88
  5. Step 5: Solve for x
    x = 105,402.88/301.84
  6. Step 6: Final answer
    x = 349.20

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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.