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Finding the Fourth Proportional to 358.11, 537.41 and 242.77

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Solution

The fourth proportional to 358.11, 537.41 and 242.77 is: 364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 537.41 = 242.77 : x
  2. Step 2: Convert to fraction form
    358.11/537.41 = 242.77/x
  3. Step 3: Cross multiply
    358.11x = 537.41 × 242.77
  4. Step 4: Simplify right side
    358.11x = 130,467.03
  5. Step 5: Solve for x
    x = 130,467.03/358.11
  6. Step 6: Final answer
    x = 364.32

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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.