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Finding the Fourth Proportional to 176.31, 264.27 and 84.99

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Solution

The fourth proportional to 176.31, 264.27 and 84.99 is: 127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 264.27 = 84.99 : x
  2. Step 2: Convert to fraction form
    176.31/264.27 = 84.99/x
  3. Step 3: Cross multiply
    176.31x = 264.27 × 84.99
  4. Step 4: Simplify right side
    176.31x = 22,460.31
  5. Step 5: Solve for x
    x = 22,460.31/176.31
  6. Step 6: Final answer
    x = 127.39

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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.