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Finding the Fourth Proportional to 358.63, 537.64 and 175.77

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Solution

The fourth proportional to 358.63, 537.64 and 175.77 is: 263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.63 : 537.64 = 175.77 : x
  2. Step 2: Convert to fraction form
    358.63/537.64 = 175.77/x
  3. Step 3: Cross multiply
    358.63x = 537.64 × 175.77
  4. Step 4: Simplify right side
    358.63x = 94,500.54
  5. Step 5: Solve for x
    x = 94,500.54/358.63
  6. Step 6: Final answer
    x = 263.51

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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.