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Finding the Fourth Proportional to 259.46, 358.12 and 185.98

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Solution

The fourth proportional to 259.46, 358.12 and 185.98 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.46 : 358.12 = 185.98 : x
  2. Step 2: Convert to fraction form
    259.46/358.12 = 185.98/x
  3. Step 3: Cross multiply
    259.46x = 358.12 × 185.98
  4. Step 4: Simplify right side
    259.46x = 66,603.16
  5. Step 5: Solve for x
    x = 66,603.16/259.46
  6. Step 6: Final answer
    x = 256.70

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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.