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Finding the Fourth Proportional to 364.21, 546.51 and 242.53

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Solution

The fourth proportional to 364.21, 546.51 and 242.53 is: 363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.21 : 546.51 = 242.53 : x
  2. Step 2: Convert to fraction form
    364.21/546.51 = 242.53/x
  3. Step 3: Cross multiply
    364.21x = 546.51 × 242.53
  4. Step 4: Simplify right side
    364.21x = 132,545.07
  5. Step 5: Solve for x
    x = 132,545.07/364.21
  6. Step 6: Final answer
    x = 363.92

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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.