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Finding the Fourth Proportional to 430.23, 645.33 and 122.08

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Solution

The fourth proportional to 430.23, 645.33 and 122.08 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.23 : 645.33 = 122.08 : x
  2. Step 2: Convert to fraction form
    430.23/645.33 = 122.08/x
  3. Step 3: Cross multiply
    430.23x = 645.33 × 122.08
  4. Step 4: Simplify right side
    430.23x = 78,781.89
  5. Step 5: Solve for x
    x = 78,781.89/430.23
  6. Step 6: Final answer
    x = 183.12

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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.