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Finding the Fourth Proportional to 358.25, 536.96 and 175.25

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Solution

The fourth proportional to 358.25, 536.96 and 175.25 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.25 : 536.96 = 175.25 : x
  2. Step 2: Convert to fraction form
    358.25/536.96 = 175.25/x
  3. Step 3: Cross multiply
    358.25x = 536.96 × 175.25
  4. Step 4: Simplify right side
    358.25x = 94,104.02
  5. Step 5: Solve for x
    x = 94,104.02/358.25
  6. Step 6: Final answer
    x = 262.68

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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.