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Finding the Fourth Proportional to 364.32, 546.75 and 202.14

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Solution

The fourth proportional to 364.32, 546.75 and 202.14 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 546.75 = 202.14 : x
  2. Step 2: Convert to fraction form
    364.32/546.75 = 202.14/x
  3. Step 3: Cross multiply
    364.32x = 546.75 × 202.14
  4. Step 4: Simplify right side
    364.32x = 110,520.05
  5. Step 5: Solve for x
    x = 110,520.05/364.32
  6. Step 6: Final answer
    x = 303.36

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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.