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Finding the Fourth Proportional to 250.78, 346.16 and 157.58

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Solution

The fourth proportional to 250.78, 346.16 and 157.58 is: 217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.78 : 346.16 = 157.58 : x
  2. Step 2: Convert to fraction form
    250.78/346.16 = 157.58/x
  3. Step 3: Cross multiply
    250.78x = 346.16 × 157.58
  4. Step 4: Simplify right side
    250.78x = 54,547.89
  5. Step 5: Solve for x
    x = 54,547.89/250.78
  6. Step 6: Final answer
    x = 217.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.