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Finding the Fourth Proportional to 374.60, 561.90 and 114.64

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Solution

The fourth proportional to 374.60, 561.90 and 114.64 is: 171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 561.90 = 114.64 : x
  2. Step 2: Convert to fraction form
    374.60/561.90 = 114.64/x
  3. Step 3: Cross multiply
    374.60x = 561.90 × 114.64
  4. Step 4: Simplify right side
    374.60x = 64,414.81
  5. Step 5: Solve for x
    x = 64,414.81/374.60
  6. Step 6: Final answer
    x = 171.96

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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.