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Finding the Fourth Proportional to 305.10, 457.83 and 142.70

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Solution

The fourth proportional to 305.10, 457.83 and 142.70 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.10 : 457.83 = 142.70 : x
  2. Step 2: Convert to fraction form
    305.10/457.83 = 142.70/x
  3. Step 3: Cross multiply
    305.10x = 457.83 × 142.70
  4. Step 4: Simplify right side
    305.10x = 65,330.05
  5. Step 5: Solve for x
    x = 65,330.05/305.10
  6. Step 6: Final answer
    x = 214.13

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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.