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Finding the Fourth Proportional to 460.09, 690.26 and 135.46

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Solution

The fourth proportional to 460.09, 690.26 and 135.46 is: 203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.09 : 690.26 = 135.46 : x
  2. Step 2: Convert to fraction form
    460.09/690.26 = 135.46/x
  3. Step 3: Cross multiply
    460.09x = 690.26 × 135.46
  4. Step 4: Simplify right side
    460.09x = 93,502.81
  5. Step 5: Solve for x
    x = 93,502.81/460.09
  6. Step 6: Final answer
    x = 203.23

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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.