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Finding the Fourth Proportional to 188.42, 260.04 and 157.28

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Solution

The fourth proportional to 188.42, 260.04 and 157.28 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.42 : 260.04 = 157.28 : x
  2. Step 2: Convert to fraction form
    188.42/260.04 = 157.28/x
  3. Step 3: Cross multiply
    188.42x = 260.04 × 157.28
  4. Step 4: Simplify right side
    188.42x = 40,897.79
  5. Step 5: Solve for x
    x = 40,897.79/188.42
  6. Step 6: Final answer
    x = 217.06

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