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Finding the Fourth Proportional to 245.53, 338.76 and 157.06

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Solution

The fourth proportional to 245.53, 338.76 and 157.06 is: 216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.53 : 338.76 = 157.06 : x
  2. Step 2: Convert to fraction form
    245.53/338.76 = 157.06/x
  3. Step 3: Cross multiply
    245.53x = 338.76 × 157.06
  4. Step 4: Simplify right side
    245.53x = 53,205.65
  5. Step 5: Solve for x
    x = 53,205.65/245.53
  6. Step 6: Final answer
    x = 216.70

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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.