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Finding the Fourth Proportional to 374.02, 561.02 and 154.59

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Solution

The fourth proportional to 374.02, 561.02 and 154.59 is: 231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.02 : 561.02 = 154.59 : x
  2. Step 2: Convert to fraction form
    374.02/561.02 = 154.59/x
  3. Step 3: Cross multiply
    374.02x = 561.02 × 154.59
  4. Step 4: Simplify right side
    374.02x = 86,724.50
  5. Step 5: Solve for x
    x = 86,724.50/374.02
  6. Step 6: Final answer
    x = 231.87

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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.