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Finding the Fourth Proportional to 357.33, 493.17 and 222.80

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Solution

The fourth proportional to 357.33, 493.17 and 222.80 is: 307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.33 : 493.17 = 222.80 : x
  2. Step 2: Convert to fraction form
    357.33/493.17 = 222.80/x
  3. Step 3: Cross multiply
    357.33x = 493.17 × 222.80
  4. Step 4: Simplify right side
    357.33x = 109,875.81
  5. Step 5: Solve for x
    x = 109,875.81/357.33
  6. Step 6: Final answer
    x = 307.49

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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.