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Finding the Fourth Proportional to 431.30, 646.95 and 106.67

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Solution

The fourth proportional to 431.30, 646.95 and 106.67 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.30 : 646.95 = 106.67 : x
  2. Step 2: Convert to fraction form
    431.30/646.95 = 106.67/x
  3. Step 3: Cross multiply
    431.30x = 646.95 × 106.67
  4. Step 4: Simplify right side
    431.30x = 69,006.39
  5. Step 5: Solve for x
    x = 69,006.39/431.30
  6. Step 6: Final answer
    x = 160.00

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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.