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Finding the Fourth Proportional to 205.24, 306.08 and 175

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Solution

The fourth proportional to 205.24, 306.08 and 175 is: 260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 306.08 = 175 : x
  2. Step 2: Convert to fraction form
    205.24/306.08 = 175/x
  3. Step 3: Cross multiply
    205.24x = 306.08 × 175
  4. Step 4: Simplify right side
    205.24x = 53,564
  5. Step 5: Solve for x
    x = 53,564/205.24
  6. Step 6: Final answer
    x = 260.98

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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.