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Finding the Fourth Proportional to 364.32, 546 and 202.08

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Solution

The fourth proportional to 364.32, 546 and 202.08 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 546 = 202.08 : x
  2. Step 2: Convert to fraction form
    364.32/546 = 202.08/x
  3. Step 3: Cross multiply
    364.32x = 546 × 202.08
  4. Step 4: Simplify right side
    364.32x = 110,335.68
  5. Step 5: Solve for x
    x = 110,335.68/364.32
  6. Step 6: Final answer
    x = 302.85

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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.