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Finding the Fourth Proportional to 207.58, 310.65 and 142.28

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Solution

The fourth proportional to 207.58, 310.65 and 142.28 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.58 : 310.65 = 142.28 : x
  2. Step 2: Convert to fraction form
    207.58/310.65 = 142.28/x
  3. Step 3: Cross multiply
    207.58x = 310.65 × 142.28
  4. Step 4: Simplify right side
    207.58x = 44,199.28
  5. Step 5: Solve for x
    x = 44,199.28/207.58
  6. Step 6: Final answer
    x = 212.93

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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.