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Finding the Fourth Proportional to 157.16, 234.47 and 151.70

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Solution

The fourth proportional to 157.16, 234.47 and 151.70 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.16 : 234.47 = 151.70 : x
  2. Step 2: Convert to fraction form
    157.16/234.47 = 151.70/x
  3. Step 3: Cross multiply
    157.16x = 234.47 × 151.70
  4. Step 4: Simplify right side
    157.16x = 35,567.17
  5. Step 5: Solve for x
    x = 35,567.17/157.16
  6. Step 6: Final answer
    x = 226.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.