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Finding the Fourth Proportional to 357.52, 493.29 and 208.15

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Solution

The fourth proportional to 357.52, 493.29 and 208.15 is: 287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.52 : 493.29 = 208.15 : x
  2. Step 2: Convert to fraction form
    357.52/493.29 = 208.15/x
  3. Step 3: Cross multiply
    357.52x = 493.29 × 208.15
  4. Step 4: Simplify right side
    357.52x = 102,678.31
  5. Step 5: Solve for x
    x = 102,678.31/357.52
  6. Step 6: Final answer
    x = 287.20

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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.