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Finding the Fourth Proportional to 365.04, 547.64 and 218.75

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Solution

The fourth proportional to 365.04, 547.64 and 218.75 is: 328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 547.64 = 218.75 : x
  2. Step 2: Convert to fraction form
    365.04/547.64 = 218.75/x
  3. Step 3: Cross multiply
    365.04x = 547.64 × 218.75
  4. Step 4: Simplify right side
    365.04x = 119,792.42
  5. Step 5: Solve for x
    x = 119,792.42/365.04
  6. Step 6: Final answer
    x = 328.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.