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Finding the Fourth Proportional to 460.42, 690.76 and 135.82

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Solution

The fourth proportional to 460.42, 690.76 and 135.82 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 690.76 = 135.82 : x
  2. Step 2: Convert to fraction form
    460.42/690.76 = 135.82/x
  3. Step 3: Cross multiply
    460.42x = 690.76 × 135.82
  4. Step 4: Simplify right side
    460.42x = 93,819.02
  5. Step 5: Solve for x
    x = 93,819.02/460.42
  6. Step 6: Final answer
    x = 203.77

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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.