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Finding the Fourth Proportional to 358.53, 537.84 and 196.08

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Solution

The fourth proportional to 358.53, 537.84 and 196.08 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.53 : 537.84 = 196.08 : x
  2. Step 2: Convert to fraction form
    358.53/537.84 = 196.08/x
  3. Step 3: Cross multiply
    358.53x = 537.84 × 196.08
  4. Step 4: Simplify right side
    358.53x = 105,459.67
  5. Step 5: Solve for x
    x = 105,459.67/358.53
  6. Step 6: Final answer
    x = 294.14

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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.