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Finding the Fourth Proportional to 305.60, 457.68 and 183.56

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Solution

The fourth proportional to 305.60, 457.68 and 183.56 is: 274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 457.68 = 183.56 : x
  2. Step 2: Convert to fraction form
    305.60/457.68 = 183.56/x
  3. Step 3: Cross multiply
    305.60x = 457.68 × 183.56
  4. Step 4: Simplify right side
    305.60x = 84,011.74
  5. Step 5: Solve for x
    x = 84,011.74/305.60
  6. Step 6: Final answer
    x = 274.91

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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.