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Finding the Fourth Proportional to 364.02, 546.10 and 210.02

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Solution

The fourth proportional to 364.02, 546.10 and 210.02 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 546.10 = 210.02 : x
  2. Step 2: Convert to fraction form
    364.02/546.10 = 210.02/x
  3. Step 3: Cross multiply
    364.02x = 546.10 × 210.02
  4. Step 4: Simplify right side
    364.02x = 114,691.92
  5. Step 5: Solve for x
    x = 114,691.92/364.02
  6. Step 6: Final answer
    x = 315.07

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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.