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Finding the Fourth Proportional to 384.69, 577.10 and 165.31

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Solution

The fourth proportional to 384.69, 577.10 and 165.31 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 577.10 = 165.31 : x
  2. Step 2: Convert to fraction form
    384.69/577.10 = 165.31/x
  3. Step 3: Cross multiply
    384.69x = 577.10 × 165.31
  4. Step 4: Simplify right side
    384.69x = 95,400.40
  5. Step 5: Solve for x
    x = 95,400.40/384.69
  6. Step 6: Final answer
    x = 248.00

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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.