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Finding the Fourth Proportional to 184, 253.66 and 157.66

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Solution

The fourth proportional to 184, 253.66 and 157.66 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184 : 253.66 = 157.66 : x
  2. Step 2: Convert to fraction form
    184/253.66 = 157.66/x
  3. Step 3: Cross multiply
    184x = 253.66 × 157.66
  4. Step 4: Simplify right side
    184x = 39,992.04
  5. Step 5: Solve for x
    x = 39,992.04/184
  6. Step 6: Final answer
    x = 217.35

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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.