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Finding the Fourth Proportional to 364.16, 547.20 and 242.48

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Solution

The fourth proportional to 364.16, 547.20 and 242.48 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 547.20 = 242.48 : x
  2. Step 2: Convert to fraction form
    364.16/547.20 = 242.48/x
  3. Step 3: Cross multiply
    364.16x = 547.20 × 242.48
  4. Step 4: Simplify right side
    364.16x = 132,685.06
  5. Step 5: Solve for x
    x = 132,685.06/364.16
  6. Step 6: Final answer
    x = 364.36

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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.