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Finding the Fourth Proportional to 175.99, 264.10 and 89.40

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Solution

The fourth proportional to 175.99, 264.10 and 89.40 is: 134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.99 : 264.10 = 89.40 : x
  2. Step 2: Convert to fraction form
    175.99/264.10 = 89.40/x
  3. Step 3: Cross multiply
    175.99x = 264.10 × 89.40
  4. Step 4: Simplify right side
    175.99x = 23,609.33
  5. Step 5: Solve for x
    x = 23,609.33/175.99
  6. Step 6: Final answer
    x = 134.15

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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.