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Finding the Fourth Proportional to 357.84, 537.03 and 141.57

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Solution

The fourth proportional to 357.84, 537.03 and 141.57 is: 212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 537.03 = 141.57 : x
  2. Step 2: Convert to fraction form
    357.84/537.03 = 141.57/x
  3. Step 3: Cross multiply
    357.84x = 537.03 × 141.57
  4. Step 4: Simplify right side
    357.84x = 76,027.34
  5. Step 5: Solve for x
    x = 76,027.34/357.84
  6. Step 6: Final answer
    x = 212.46

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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.