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Finding the Fourth Proportional to 384.64, 577.07 and 165.16

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Solution

The fourth proportional to 384.64, 577.07 and 165.16 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 577.07 = 165.16 : x
  2. Step 2: Convert to fraction form
    384.64/577.07 = 165.16/x
  3. Step 3: Cross multiply
    384.64x = 577.07 × 165.16
  4. Step 4: Simplify right side
    384.64x = 95,308.88
  5. Step 5: Solve for x
    x = 95,308.88/384.64
  6. Step 6: Final answer
    x = 247.79

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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.