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Finding the Fourth Proportional to 242.19, 361.24 and 203.22

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Solution

The fourth proportional to 242.19, 361.24 and 203.22 is: 303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.19 : 361.24 = 203.22 : x
  2. Step 2: Convert to fraction form
    242.19/361.24 = 203.22/x
  3. Step 3: Cross multiply
    242.19x = 361.24 × 203.22
  4. Step 4: Simplify right side
    242.19x = 73,411.19
  5. Step 5: Solve for x
    x = 73,411.19/242.19
  6. Step 6: Final answer
    x = 303.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.