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Finding the Fourth Proportional to 305.51, 457.12 and 181.66

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Solution

The fourth proportional to 305.51, 457.12 and 181.66 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.51 : 457.12 = 181.66 : x
  2. Step 2: Convert to fraction form
    305.51/457.12 = 181.66/x
  3. Step 3: Cross multiply
    305.51x = 457.12 × 181.66
  4. Step 4: Simplify right side
    305.51x = 83,038.82
  5. Step 5: Solve for x
    x = 83,038.82/305.51
  6. Step 6: Final answer
    x = 271.81

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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.