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Finding the Fourth Proportional to 305.14, 457.56 and 110.08

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Solution

The fourth proportional to 305.14, 457.56 and 110.08 is: 165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 457.56 = 110.08 : x
  2. Step 2: Convert to fraction form
    305.14/457.56 = 110.08/x
  3. Step 3: Cross multiply
    305.14x = 457.56 × 110.08
  4. Step 4: Simplify right side
    305.14x = 50,368.20
  5. Step 5: Solve for x
    x = 50,368.20/305.14
  6. Step 6: Final answer
    x = 165.07

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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.