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Finding the Fourth Proportional to 370.06, 510.67 and 204.28

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Solution

The fourth proportional to 370.06, 510.67 and 204.28 is: 281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.06 : 510.67 = 204.28 : x
  2. Step 2: Convert to fraction form
    370.06/510.67 = 204.28/x
  3. Step 3: Cross multiply
    370.06x = 510.67 × 204.28
  4. Step 4: Simplify right side
    370.06x = 104,319.67
  5. Step 5: Solve for x
    x = 104,319.67/370.06
  6. Step 6: Final answer
    x = 281.90

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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.