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Finding the Fourth Proportional to 177.21, 264.21 and 151.68

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Solution

The fourth proportional to 177.21, 264.21 and 151.68 is: 226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.21 : 264.21 = 151.68 : x
  2. Step 2: Convert to fraction form
    177.21/264.21 = 151.68/x
  3. Step 3: Cross multiply
    177.21x = 264.21 × 151.68
  4. Step 4: Simplify right side
    177.21x = 40,075.37
  5. Step 5: Solve for x
    x = 40,075.37/177.21
  6. Step 6: Final answer
    x = 226.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.