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Finding the Fourth Proportional to 374.75, 562.10 and 100.84

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Solution

The fourth proportional to 374.75, 562.10 and 100.84 is: 151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.75 : 562.10 = 100.84 : x
  2. Step 2: Convert to fraction form
    374.75/562.10 = 100.84/x
  3. Step 3: Cross multiply
    374.75x = 562.10 × 100.84
  4. Step 4: Simplify right side
    374.75x = 56,682.16
  5. Step 5: Solve for x
    x = 56,682.16/374.75
  6. Step 6: Final answer
    x = 151.25

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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.