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Finding the Fourth Proportional to 361.60, 498.98 and 221.70

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Solution

The fourth proportional to 361.60, 498.98 and 221.70 is: 305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.60 : 498.98 = 221.70 : x
  2. Step 2: Convert to fraction form
    361.60/498.98 = 221.70/x
  3. Step 3: Cross multiply
    361.60x = 498.98 × 221.70
  4. Step 4: Simplify right side
    361.60x = 110,623.87
  5. Step 5: Solve for x
    x = 110,623.87/361.60
  6. Step 6: Final answer
    x = 305.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.