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Finding the Fourth Proportional to 364.98, 546.36 and 202.18

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Solution

The fourth proportional to 364.98, 546.36 and 202.18 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.98 : 546.36 = 202.18 : x
  2. Step 2: Convert to fraction form
    364.98/546.36 = 202.18/x
  3. Step 3: Cross multiply
    364.98x = 546.36 × 202.18
  4. Step 4: Simplify right side
    364.98x = 110,463.06
  5. Step 5: Solve for x
    x = 110,463.06/364.98
  6. Step 6: Final answer
    x = 302.66

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