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Finding the Fourth Proportional to 374.93, 561.99 and 179.81

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Solution

The fourth proportional to 374.93, 561.99 and 179.81 is: 269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.93 : 561.99 = 179.81 : x
  2. Step 2: Convert to fraction form
    374.93/561.99 = 179.81/x
  3. Step 3: Cross multiply
    374.93x = 561.99 × 179.81
  4. Step 4: Simplify right side
    374.93x = 101,051.42
  5. Step 5: Solve for x
    x = 101,051.42/374.93
  6. Step 6: Final answer
    x = 269.52

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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.