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Finding the Fourth Proportional to 434.61, 651.92 and 109.98

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Solution

The fourth proportional to 434.61, 651.92 and 109.98 is: 164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 651.92 = 109.98 : x
  2. Step 2: Convert to fraction form
    434.61/651.92 = 109.98/x
  3. Step 3: Cross multiply
    434.61x = 651.92 × 109.98
  4. Step 4: Simplify right side
    434.61x = 71,698.16
  5. Step 5: Solve for x
    x = 71,698.16/434.61
  6. Step 6: Final answer
    x = 164.97

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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.