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Finding the Fourth Proportional to 374.64, 561.90 and 118.20

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Solution

The fourth proportional to 374.64, 561.90 and 118.20 is: 177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 561.90 = 118.20 : x
  2. Step 2: Convert to fraction form
    374.64/561.90 = 118.20/x
  3. Step 3: Cross multiply
    374.64x = 561.90 × 118.20
  4. Step 4: Simplify right side
    374.64x = 66,416.58
  5. Step 5: Solve for x
    x = 66,416.58/374.64
  6. Step 6: Final answer
    x = 177.28

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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.