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Finding the Fourth Proportional to 384.14, 575.76 and 221.60

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Solution

The fourth proportional to 384.14, 575.76 and 221.60 is: 332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 575.76 = 221.60 : x
  2. Step 2: Convert to fraction form
    384.14/575.76 = 221.60/x
  3. Step 3: Cross multiply
    384.14x = 575.76 × 221.60
  4. Step 4: Simplify right side
    384.14x = 127,588.42
  5. Step 5: Solve for x
    x = 127,588.42/384.14
  6. Step 6: Final answer
    x = 332.14

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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.