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Finding the Fourth Proportional to 194.71, 292.10 and 64.67

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Solution

The fourth proportional to 194.71, 292.10 and 64.67 is: 97.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.71 : 292.10 = 64.67 : x
  2. Step 2: Convert to fraction form
    194.71/292.10 = 64.67/x
  3. Step 3: Cross multiply
    194.71x = 292.10 × 64.67
  4. Step 4: Simplify right side
    194.71x = 18,890.11
  5. Step 5: Solve for x
    x = 18,890.11/194.71
  6. Step 6: Final answer
    x = 97.02

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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.