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Finding the Fourth Proportional to 176.01, 242.23 and 164.13

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Solution

The fourth proportional to 176.01, 242.23 and 164.13 is: 225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.01 : 242.23 = 164.13 : x
  2. Step 2: Convert to fraction form
    176.01/242.23 = 164.13/x
  3. Step 3: Cross multiply
    176.01x = 242.23 × 164.13
  4. Step 4: Simplify right side
    176.01x = 39,757.21
  5. Step 5: Solve for x
    x = 39,757.21/176.01
  6. Step 6: Final answer
    x = 225.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.