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Finding the Fourth Proportional to 370.29, 555.31 and 153.82

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Solution

The fourth proportional to 370.29, 555.31 and 153.82 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.29 : 555.31 = 153.82 : x
  2. Step 2: Convert to fraction form
    370.29/555.31 = 153.82/x
  3. Step 3: Cross multiply
    370.29x = 555.31 × 153.82
  4. Step 4: Simplify right side
    370.29x = 85,417.78
  5. Step 5: Solve for x
    x = 85,417.78/370.29
  6. Step 6: Final answer
    x = 230.68

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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.