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Finding the Fourth Proportional to 370.08, 510.71 and 204.30

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Solution

The fourth proportional to 370.08, 510.71 and 204.30 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.08 : 510.71 = 204.30 : x
  2. Step 2: Convert to fraction form
    370.08/510.71 = 204.30/x
  3. Step 3: Cross multiply
    370.08x = 510.71 × 204.30
  4. Step 4: Simplify right side
    370.08x = 104,337.03
  5. Step 5: Solve for x
    x = 104,337.03/370.08
  6. Step 6: Final answer
    x = 281.93

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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.