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Finding the Fourth Proportional to 361.02, 498.06 and 229.98

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Solution

The fourth proportional to 361.02, 498.06 and 229.98 is: 317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 498.06 = 229.98 : x
  2. Step 2: Convert to fraction form
    361.02/498.06 = 229.98/x
  3. Step 3: Cross multiply
    361.02x = 498.06 × 229.98
  4. Step 4: Simplify right side
    361.02x = 114,543.84
  5. Step 5: Solve for x
    x = 114,543.84/361.02
  6. Step 6: Final answer
    x = 317.28

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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.