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Finding the Fourth Proportional to 374.27, 561.35 and 100.38

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Solution

The fourth proportional to 374.27, 561.35 and 100.38 is: 150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.27 : 561.35 = 100.38 : x
  2. Step 2: Convert to fraction form
    374.27/561.35 = 100.38/x
  3. Step 3: Cross multiply
    374.27x = 561.35 × 100.38
  4. Step 4: Simplify right side
    374.27x = 56,347.81
  5. Step 5: Solve for x
    x = 56,347.81/374.27
  6. Step 6: Final answer
    x = 150.55

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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.