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Finding the Fourth Proportional to 374.08, 561.12 and 145.92

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Solution

The fourth proportional to 374.08, 561.12 and 145.92 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.08 : 561.12 = 145.92 : x
  2. Step 2: Convert to fraction form
    374.08/561.12 = 145.92/x
  3. Step 3: Cross multiply
    374.08x = 561.12 × 145.92
  4. Step 4: Simplify right side
    374.08x = 81,878.63
  5. Step 5: Solve for x
    x = 81,878.63/374.08
  6. Step 6: Final answer
    x = 218.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.