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Finding the Fourth Proportional to 305.16, 457.90 and 142.85

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Solution

The fourth proportional to 305.16, 457.90 and 142.85 is: 214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 457.90 = 142.85 : x
  2. Step 2: Convert to fraction form
    305.16/457.90 = 142.85/x
  3. Step 3: Cross multiply
    305.16x = 457.90 × 142.85
  4. Step 4: Simplify right side
    305.16x = 65,409.08
  5. Step 5: Solve for x
    x = 65,409.08/305.16
  6. Step 6: Final answer
    x = 214.34

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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.