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Finding the Fourth Proportional to 374.43, 561.64 and 117.93

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Solution

The fourth proportional to 374.43, 561.64 and 117.93 is: 176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.43 : 561.64 = 117.93 : x
  2. Step 2: Convert to fraction form
    374.43/561.64 = 117.93/x
  3. Step 3: Cross multiply
    374.43x = 561.64 × 117.93
  4. Step 4: Simplify right side
    374.43x = 66,234.21
  5. Step 5: Solve for x
    x = 66,234.21/374.43
  6. Step 6: Final answer
    x = 176.89

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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.