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Finding the Fourth Proportional to 364.33, 546.26 and 202.13

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Solution

The fourth proportional to 364.33, 546.26 and 202.13 is: 303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.33 : 546.26 = 202.13 : x
  2. Step 2: Convert to fraction form
    364.33/546.26 = 202.13/x
  3. Step 3: Cross multiply
    364.33x = 546.26 × 202.13
  4. Step 4: Simplify right side
    364.33x = 110,415.53
  5. Step 5: Solve for x
    x = 110,415.53/364.33
  6. Step 6: Final answer
    x = 303.06

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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.