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Finding the Fourth Proportional to 252.99, 349.16 and 154.77

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Solution

The fourth proportional to 252.99, 349.16 and 154.77 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.99 : 349.16 = 154.77 : x
  2. Step 2: Convert to fraction form
    252.99/349.16 = 154.77/x
  3. Step 3: Cross multiply
    252.99x = 349.16 × 154.77
  4. Step 4: Simplify right side
    252.99x = 54,038.72
  5. Step 5: Solve for x
    x = 54,038.72/252.99
  6. Step 6: Final answer
    x = 213.60

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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.