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Finding the Fourth Proportional to 177.99, 266.40 and 161.16

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Solution

The fourth proportional to 177.99, 266.40 and 161.16 is: 241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.99 : 266.40 = 161.16 : x
  2. Step 2: Convert to fraction form
    177.99/266.40 = 161.16/x
  3. Step 3: Cross multiply
    177.99x = 266.40 × 161.16
  4. Step 4: Simplify right side
    177.99x = 42,933.02
  5. Step 5: Solve for x
    x = 42,933.02/177.99
  6. Step 6: Final answer
    x = 241.21

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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.