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Finding the Fourth Proportional to 460.50, 690.73 and 135.82

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Solution

The fourth proportional to 460.50, 690.73 and 135.82 is: 203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 690.73 = 135.82 : x
  2. Step 2: Convert to fraction form
    460.50/690.73 = 135.82/x
  3. Step 3: Cross multiply
    460.50x = 690.73 × 135.82
  4. Step 4: Simplify right side
    460.50x = 93,814.95
  5. Step 5: Solve for x
    x = 93,814.95/460.50
  6. Step 6: Final answer
    x = 203.72

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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.