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Finding the Fourth Proportional to 305.70, 458.15 and 183.80

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Solution

The fourth proportional to 305.70, 458.15 and 183.80 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.70 : 458.15 = 183.80 : x
  2. Step 2: Convert to fraction form
    305.70/458.15 = 183.80/x
  3. Step 3: Cross multiply
    305.70x = 458.15 × 183.80
  4. Step 4: Simplify right side
    305.70x = 84,204.76
  5. Step 5: Solve for x
    x = 84,204.76/305.70
  6. Step 6: Final answer
    x = 275.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.