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Finding the Fourth Proportional to 191.41, 264.08 and 176.67

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Solution

The fourth proportional to 191.41, 264.08 and 176.67 is: 243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.41 : 264.08 = 176.67 : x
  2. Step 2: Convert to fraction form
    191.41/264.08 = 176.67/x
  3. Step 3: Cross multiply
    191.41x = 264.08 × 176.67
  4. Step 4: Simplify right side
    191.41x = 46,655.46
  5. Step 5: Solve for x
    x = 46,655.46/191.41
  6. Step 6: Final answer
    x = 243.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.