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Finding the Fourth Proportional to 374.07, 561.13 and 100.16

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Solution

The fourth proportional to 374.07, 561.13 and 100.16 is: 150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.07 : 561.13 = 100.16 : x
  2. Step 2: Convert to fraction form
    374.07/561.13 = 100.16/x
  3. Step 3: Cross multiply
    374.07x = 561.13 × 100.16
  4. Step 4: Simplify right side
    374.07x = 56,201.64
  5. Step 5: Solve for x
    x = 56,201.64/374.07
  6. Step 6: Final answer
    x = 150.25

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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.