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Finding the Fourth Proportional to 460.61, 690.91 and 135.98

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Solution

The fourth proportional to 460.61, 690.91 and 135.98 is: 203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 690.91 = 135.98 : x
  2. Step 2: Convert to fraction form
    460.61/690.91 = 135.98/x
  3. Step 3: Cross multiply
    460.61x = 690.91 × 135.98
  4. Step 4: Simplify right side
    460.61x = 93,949.94
  5. Step 5: Solve for x
    x = 93,949.94/460.61
  6. Step 6: Final answer
    x = 203.97

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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.