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Finding the Fourth Proportional to 206.74, 285.54 and 170.02

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Solution

The fourth proportional to 206.74, 285.54 and 170.02 is: 234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 285.54 = 170.02 : x
  2. Step 2: Convert to fraction form
    206.74/285.54 = 170.02/x
  3. Step 3: Cross multiply
    206.74x = 285.54 × 170.02
  4. Step 4: Simplify right side
    206.74x = 48,547.51
  5. Step 5: Solve for x
    x = 48,547.51/206.74
  6. Step 6: Final answer
    x = 234.82

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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.