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Finding the Fourth Proportional to 170.86, 254.97 and 152.63

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Solution

The fourth proportional to 170.86, 254.97 and 152.63 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 254.97 = 152.63 : x
  2. Step 2: Convert to fraction form
    170.86/254.97 = 152.63/x
  3. Step 3: Cross multiply
    170.86x = 254.97 × 152.63
  4. Step 4: Simplify right side
    170.86x = 38,916.07
  5. Step 5: Solve for x
    x = 38,916.07/170.86
  6. Step 6: Final answer
    x = 227.77

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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.