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Finding the Fourth Proportional to 305.50, 457.90 and 142.84

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Solution

The fourth proportional to 305.50, 457.90 and 142.84 is: 214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 457.90 = 142.84 : x
  2. Step 2: Convert to fraction form
    305.50/457.90 = 142.84/x
  3. Step 3: Cross multiply
    305.50x = 457.90 × 142.84
  4. Step 4: Simplify right side
    305.50x = 65,406.44
  5. Step 5: Solve for x
    x = 65,406.44/305.50
  6. Step 6: Final answer
    x = 214.10

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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.