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Finding the Fourth Proportional to 358.22, 537.39 and 242.93

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Solution

The fourth proportional to 358.22, 537.39 and 242.93 is: 364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.22 : 537.39 = 242.93 : x
  2. Step 2: Convert to fraction form
    358.22/537.39 = 242.93/x
  3. Step 3: Cross multiply
    358.22x = 537.39 × 242.93
  4. Step 4: Simplify right side
    358.22x = 130,545.47
  5. Step 5: Solve for x
    x = 130,545.47/358.22
  6. Step 6: Final answer
    x = 364.43

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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.