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Finding the Fourth Proportional to 177.45, 266.28 and 164.01

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Solution

The fourth proportional to 177.45, 266.28 and 164.01 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 266.28 = 164.01 : x
  2. Step 2: Convert to fraction form
    177.45/266.28 = 164.01/x
  3. Step 3: Cross multiply
    177.45x = 266.28 × 164.01
  4. Step 4: Simplify right side
    177.45x = 43,672.58
  5. Step 5: Solve for x
    x = 43,672.58/177.45
  6. Step 6: Final answer
    x = 246.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.