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Finding the Fourth Proportional to 157.30, 235.80 and 76.16

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Solution

The fourth proportional to 157.30, 235.80 and 76.16 is: 114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.30 : 235.80 = 76.16 : x
  2. Step 2: Convert to fraction form
    157.30/235.80 = 76.16/x
  3. Step 3: Cross multiply
    157.30x = 235.80 × 76.16
  4. Step 4: Simplify right side
    157.30x = 17,958.53
  5. Step 5: Solve for x
    x = 17,958.53/157.30
  6. Step 6: Final answer
    x = 114.17

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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.