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Finding the Fourth Proportional to 434.22, 651.31 and 145.65

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Solution

The fourth proportional to 434.22, 651.31 and 145.65 is: 218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 651.31 = 145.65 : x
  2. Step 2: Convert to fraction form
    434.22/651.31 = 145.65/x
  3. Step 3: Cross multiply
    434.22x = 651.31 × 145.65
  4. Step 4: Simplify right side
    434.22x = 94,862.57
  5. Step 5: Solve for x
    x = 94,862.57/434.22
  6. Step 6: Final answer
    x = 218.47

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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.