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Finding the Fourth Proportional to 358.34, 537.30 and 175.55

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Solution

The fourth proportional to 358.34, 537.30 and 175.55 is: 263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.34 : 537.30 = 175.55 : x
  2. Step 2: Convert to fraction form
    358.34/537.30 = 175.55/x
  3. Step 3: Cross multiply
    358.34x = 537.30 × 175.55
  4. Step 4: Simplify right side
    358.34x = 94,320.33
  5. Step 5: Solve for x
    x = 94,320.33/358.34
  6. Step 6: Final answer
    x = 263.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.