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Finding the Fourth Proportional to 157.32, 237 and 142.20

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Solution

The fourth proportional to 157.32, 237 and 142.20 is: 214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.32 : 237 = 142.20 : x
  2. Step 2: Convert to fraction form
    157.32/237 = 142.20/x
  3. Step 3: Cross multiply
    157.32x = 237 × 142.20
  4. Step 4: Simplify right side
    157.32x = 33,701.40
  5. Step 5: Solve for x
    x = 33,701.40/157.32
  6. Step 6: Final answer
    x = 214.22

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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.