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Finding the Fourth Proportional to 364.34, 545.96 and 242.16

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Solution

The fourth proportional to 364.34, 545.96 and 242.16 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 545.96 = 242.16 : x
  2. Step 2: Convert to fraction form
    364.34/545.96 = 242.16/x
  3. Step 3: Cross multiply
    364.34x = 545.96 × 242.16
  4. Step 4: Simplify right side
    364.34x = 132,208.46
  5. Step 5: Solve for x
    x = 132,208.46/364.34
  6. Step 6: Final answer
    x = 362.88

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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.