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Finding the Fourth Proportional to 460.57, 690.93 and 135.97

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Solution

The fourth proportional to 460.57, 690.93 and 135.97 is: 203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.57 : 690.93 = 135.97 : x
  2. Step 2: Convert to fraction form
    460.57/690.93 = 135.97/x
  3. Step 3: Cross multiply
    460.57x = 690.93 × 135.97
  4. Step 4: Simplify right side
    460.57x = 93,943.51
  5. Step 5: Solve for x
    x = 93,943.51/460.57
  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.