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Finding the Fourth Proportional to 364.42, 547.14 and 202.22

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Solution

The fourth proportional to 364.42, 547.14 and 202.22 is: 303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 547.14 = 202.22 : x
  2. Step 2: Convert to fraction form
    364.42/547.14 = 202.22/x
  3. Step 3: Cross multiply
    364.42x = 547.14 × 202.22
  4. Step 4: Simplify right side
    364.42x = 110,642.65
  5. Step 5: Solve for x
    x = 110,642.65/364.42
  6. Step 6: Final answer
    x = 303.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.