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Finding the Fourth Proportional to 290.86, 438.01 and 242.56

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Solution

The fourth proportional to 290.86, 438.01 and 242.56 is: 365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.86 : 438.01 = 242.56 : x
  2. Step 2: Convert to fraction form
    290.86/438.01 = 242.56/x
  3. Step 3: Cross multiply
    290.86x = 438.01 × 242.56
  4. Step 4: Simplify right side
    290.86x = 106,243.71
  5. Step 5: Solve for x
    x = 106,243.71/290.86
  6. Step 6: Final answer
    x = 365.27

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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.