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Finding the Fourth Proportional to 609.95, 914.94 and 177.11

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Solution

The fourth proportional to 609.95, 914.94 and 177.11 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.95 : 914.94 = 177.11 : x
  2. Step 2: Convert to fraction form
    609.95/914.94 = 177.11/x
  3. Step 3: Cross multiply
    609.95x = 914.94 × 177.11
  4. Step 4: Simplify right side
    609.95x = 162,045.02
  5. Step 5: Solve for x
    x = 162,045.02/609.95
  6. Step 6: Final answer
    x = 265.67

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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.