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Finding the Fourth Proportional to 384.96, 577.48 and 141.49

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Solution

The fourth proportional to 384.96, 577.48 and 141.49 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 577.48 = 141.49 : x
  2. Step 2: Convert to fraction form
    384.96/577.48 = 141.49/x
  3. Step 3: Cross multiply
    384.96x = 577.48 × 141.49
  4. Step 4: Simplify right side
    384.96x = 81,707.65
  5. Step 5: Solve for x
    x = 81,707.65/384.96
  6. Step 6: Final answer
    x = 212.25

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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.