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Finding the Fourth Proportional to 158.64, 237.47 and 145.19

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Solution

The fourth proportional to 158.64, 237.47 and 145.19 is: 217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 237.47 = 145.19 : x
  2. Step 2: Convert to fraction form
    158.64/237.47 = 145.19/x
  3. Step 3: Cross multiply
    158.64x = 237.47 × 145.19
  4. Step 4: Simplify right side
    158.64x = 34,478.03
  5. Step 5: Solve for x
    x = 34,478.03/158.64
  6. Step 6: Final answer
    x = 217.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.