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Finding the Fourth Proportional to 176.24, 264.34 and 54.50

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Solution

The fourth proportional to 176.24, 264.34 and 54.50 is: 81.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 264.34 = 54.50 : x
  2. Step 2: Convert to fraction form
    176.24/264.34 = 54.50/x
  3. Step 3: Cross multiply
    176.24x = 264.34 × 54.50
  4. Step 4: Simplify right side
    176.24x = 14,405.28
  5. Step 5: Solve for x
    x = 14,405.28/176.24
  6. Step 6: Final answer
    x = 81.74

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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.