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Finding the Fourth Proportional to 170.34, 235.00 and 114.99

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Solution

The fourth proportional to 170.34, 235.00 and 114.99 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.34 : 235.00 = 114.99 : x
  2. Step 2: Convert to fraction form
    170.34/235.00 = 114.99/x
  3. Step 3: Cross multiply
    170.34x = 235.00 × 114.99
  4. Step 4: Simplify right side
    170.34x = 27,021.91
  5. Step 5: Solve for x
    x = 27,021.91/170.34
  6. Step 6: Final answer
    x = 158.64

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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.