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Finding the Fourth Proportional to 460.37, 690.57 and 135.76

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Solution

The fourth proportional to 460.37, 690.57 and 135.76 is: 203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.37 : 690.57 = 135.76 : x
  2. Step 2: Convert to fraction form
    460.37/690.57 = 135.76/x
  3. Step 3: Cross multiply
    460.37x = 690.57 × 135.76
  4. Step 4: Simplify right side
    460.37x = 93,750.06
  5. Step 5: Solve for x
    x = 93,750.06/460.37
  6. Step 6: Final answer
    x = 203.64

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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.