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Finding the Fourth Proportional to 201.56, 302.74 and 177.26

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Solution

The fourth proportional to 201.56, 302.74 and 177.26 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.56 : 302.74 = 177.26 : x
  2. Step 2: Convert to fraction form
    201.56/302.74 = 177.26/x
  3. Step 3: Cross multiply
    201.56x = 302.74 × 177.26
  4. Step 4: Simplify right side
    201.56x = 53,663.69
  5. Step 5: Solve for x
    x = 53,663.69/201.56
  6. Step 6: Final answer
    x = 266.24

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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.