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Finding the Fourth Proportional to 364.71, 546.99 and 142.32

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Solution

The fourth proportional to 364.71, 546.99 and 142.32 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 546.99 = 142.32 : x
  2. Step 2: Convert to fraction form
    364.71/546.99 = 142.32/x
  3. Step 3: Cross multiply
    364.71x = 546.99 × 142.32
  4. Step 4: Simplify right side
    364.71x = 77,847.62
  5. Step 5: Solve for x
    x = 77,847.62/364.71
  6. Step 6: Final answer
    x = 213.45

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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.