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Finding the Fourth Proportional to 373.86, 561.07 and 142.91

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Solution

The fourth proportional to 373.86, 561.07 and 142.91 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.86 : 561.07 = 142.91 : x
  2. Step 2: Convert to fraction form
    373.86/561.07 = 142.91/x
  3. Step 3: Cross multiply
    373.86x = 561.07 × 142.91
  4. Step 4: Simplify right side
    373.86x = 80,182.51
  5. Step 5: Solve for x
    x = 80,182.51/373.86
  6. Step 6: Final answer
    x = 214.47

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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.