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Finding the Fourth Proportional to 460.00, 690.10 and 135.37

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Solution

The fourth proportional to 460.00, 690.10 and 135.37 is: 203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.00 : 690.10 = 135.37 : x
  2. Step 2: Convert to fraction form
    460.00/690.10 = 135.37/x
  3. Step 3: Cross multiply
    460.00x = 690.10 × 135.37
  4. Step 4: Simplify right side
    460.00x = 93,414.71
  5. Step 5: Solve for x
    x = 93,414.71/460.00
  6. Step 6: Final answer
    x = 203.08

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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.