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Finding the Fourth Proportional to 305.10, 457.65 and 140.58

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Solution

The fourth proportional to 305.10, 457.65 and 140.58 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.10 : 457.65 = 140.58 : x
  2. Step 2: Convert to fraction form
    305.10/457.65 = 140.58/x
  3. Step 3: Cross multiply
    305.10x = 457.65 × 140.58
  4. Step 4: Simplify right side
    305.10x = 64,336.44
  5. Step 5: Solve for x
    x = 64,336.44/305.10
  6. Step 6: Final answer
    x = 210.87

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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.