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Finding the Fourth Proportional to 374.04, 516.14 and 234.16

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Solution

The fourth proportional to 374.04, 516.14 and 234.16 is: 323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.04 : 516.14 = 234.16 : x
  2. Step 2: Convert to fraction form
    374.04/516.14 = 234.16/x
  3. Step 3: Cross multiply
    374.04x = 516.14 × 234.16
  4. Step 4: Simplify right side
    374.04x = 120,859.34
  5. Step 5: Solve for x
    x = 120,859.34/374.04
  6. Step 6: Final answer
    x = 323.12

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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.