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Finding the Fourth Proportional to 374.02, 516.03 and 234.10

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Solution

The fourth proportional to 374.02, 516.03 and 234.10 is: 322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.02 : 516.03 = 234.10 : x
  2. Step 2: Convert to fraction form
    374.02/516.03 = 234.10/x
  3. Step 3: Cross multiply
    374.02x = 516.03 × 234.10
  4. Step 4: Simplify right side
    374.02x = 120,802.62
  5. Step 5: Solve for x
    x = 120,802.62/374.02
  6. Step 6: Final answer
    x = 322.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.