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Finding the Fourth Proportional to 195, 291.03 and 193.08

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Solution

The fourth proportional to 195, 291.03 and 193.08 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 291.03 = 193.08 : x
  2. Step 2: Convert to fraction form
    195/291.03 = 193.08/x
  3. Step 3: Cross multiply
    195x = 291.03 × 193.08
  4. Step 4: Simplify right side
    195x = 56,192.07
  5. Step 5: Solve for x
    x = 56,192.07/195
  6. Step 6: Final answer
    x = 288.16

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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.