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Finding the Fourth Proportional to 430.83, 646.12 and 167.22

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Solution

The fourth proportional to 430.83, 646.12 and 167.22 is: 250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.83 : 646.12 = 167.22 : x
  2. Step 2: Convert to fraction form
    430.83/646.12 = 167.22/x
  3. Step 3: Cross multiply
    430.83x = 646.12 × 167.22
  4. Step 4: Simplify right side
    430.83x = 108,043.77
  5. Step 5: Solve for x
    x = 108,043.77/430.83
  6. Step 6: Final answer
    x = 250.78

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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.