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Finding the Fourth Proportional to 157.51, 237.90 and 157.51

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Solution

The fourth proportional to 157.51, 237.90 and 157.51 is: 237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.51 : 237.90 = 157.51 : x
  2. Step 2: Convert to fraction form
    157.51/237.90 = 157.51/x
  3. Step 3: Cross multiply
    157.51x = 237.90 × 157.51
  4. Step 4: Simplify right side
    157.51x = 37,471.63
  5. Step 5: Solve for x
    x = 37,471.63/157.51
  6. Step 6: Final answer
    x = 237.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.