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Finding the Fourth Proportional to 357.84, 493.82 and 225.14

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Solution

The fourth proportional to 357.84, 493.82 and 225.14 is: 310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 493.82 = 225.14 : x
  2. Step 2: Convert to fraction form
    357.84/493.82 = 225.14/x
  3. Step 3: Cross multiply
    357.84x = 493.82 × 225.14
  4. Step 4: Simplify right side
    357.84x = 111,178.63
  5. Step 5: Solve for x
    x = 111,178.63/357.84
  6. Step 6: Final answer
    x = 310.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.