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Finding the Fourth Proportional to 157.13, 236.63 and 137.08

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Solution

The fourth proportional to 157.13, 236.63 and 137.08 is: 206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 236.63 = 137.08 : x
  2. Step 2: Convert to fraction form
    157.13/236.63 = 137.08/x
  3. Step 3: Cross multiply
    157.13x = 236.63 × 137.08
  4. Step 4: Simplify right side
    157.13x = 32,437.24
  5. Step 5: Solve for x
    x = 32,437.24/157.13
  6. Step 6: Final answer
    x = 206.44

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