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Finding the Fourth Proportional to 177.84, 266.40 and 109.26

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Solution

The fourth proportional to 177.84, 266.40 and 109.26 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 266.40 = 109.26 : x
  2. Step 2: Convert to fraction form
    177.84/266.40 = 109.26/x
  3. Step 3: Cross multiply
    177.84x = 266.40 × 109.26
  4. Step 4: Simplify right side
    177.84x = 29,106.86
  5. Step 5: Solve for x
    x = 29,106.86/177.84
  6. Step 6: Final answer
    x = 163.67

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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.