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Finding the Fourth Proportional to 242.00, 364.45 and 203.72

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Solution

The fourth proportional to 242.00, 364.45 and 203.72 is: 306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.00 : 364.45 = 203.72 : x
  2. Step 2: Convert to fraction form
    242.00/364.45 = 203.72/x
  3. Step 3: Cross multiply
    242.00x = 364.45 × 203.72
  4. Step 4: Simplify right side
    242.00x = 74,246.16
  5. Step 5: Solve for x
    x = 74,246.16/242.00
  6. Step 6: Final answer
    x = 306.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.