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Finding the Fourth Proportional to 270.19, 403.68 and 237.84

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Solution

The fourth proportional to 270.19, 403.68 and 237.84 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.19 : 403.68 = 237.84 : x
  2. Step 2: Convert to fraction form
    270.19/403.68 = 237.84/x
  3. Step 3: Cross multiply
    270.19x = 403.68 × 237.84
  4. Step 4: Simplify right side
    270.19x = 96,010.63
  5. Step 5: Solve for x
    x = 96,010.63/270.19
  6. Step 6: Final answer
    x = 355.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.