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Finding the Fourth Proportional to 364.14, 545.72 and 210.15

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Solution

The fourth proportional to 364.14, 545.72 and 210.15 is: 314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 545.72 = 210.15 : x
  2. Step 2: Convert to fraction form
    364.14/545.72 = 210.15/x
  3. Step 3: Cross multiply
    364.14x = 545.72 × 210.15
  4. Step 4: Simplify right side
    364.14x = 114,682.01
  5. Step 5: Solve for x
    x = 114,682.01/364.14
  6. Step 6: Final answer
    x = 314.94

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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.