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Finding the Fourth Proportional to 358.61, 537.45 and 175.76

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Solution

The fourth proportional to 358.61, 537.45 and 175.76 is: 263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.61 : 537.45 = 175.76 : x
  2. Step 2: Convert to fraction form
    358.61/537.45 = 175.76/x
  3. Step 3: Cross multiply
    358.61x = 537.45 × 175.76
  4. Step 4: Simplify right side
    358.61x = 94,462.21
  5. Step 5: Solve for x
    x = 94,462.21/358.61
  6. Step 6: Final answer
    x = 263.41

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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.