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Finding the Fourth Proportional to 176.41, 264.68 and 66.72

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Solution

The fourth proportional to 176.41, 264.68 and 66.72 is: 100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.41 : 264.68 = 66.72 : x
  2. Step 2: Convert to fraction form
    176.41/264.68 = 66.72/x
  3. Step 3: Cross multiply
    176.41x = 264.68 × 66.72
  4. Step 4: Simplify right side
    176.41x = 17,659.45
  5. Step 5: Solve for x
    x = 17,659.45/176.41
  6. Step 6: Final answer
    x = 100.10

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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.