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Finding the Fourth Proportional to 357.94, 537.06 and 242.82

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Solution

The fourth proportional to 357.94, 537.06 and 242.82 is: 364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.94 : 537.06 = 242.82 : x
  2. Step 2: Convert to fraction form
    357.94/537.06 = 242.82/x
  3. Step 3: Cross multiply
    357.94x = 537.06 × 242.82
  4. Step 4: Simplify right side
    357.94x = 130,408.91
  5. Step 5: Solve for x
    x = 130,408.91/357.94
  6. Step 6: Final answer
    x = 364.33

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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.