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Finding the Fourth Proportional to 195.84, 293.82 and 58.89

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Solution

The fourth proportional to 195.84, 293.82 and 58.89 is: 88.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 293.82 = 58.89 : x
  2. Step 2: Convert to fraction form
    195.84/293.82 = 58.89/x
  3. Step 3: Cross multiply
    195.84x = 293.82 × 58.89
  4. Step 4: Simplify right side
    195.84x = 17,302.77
  5. Step 5: Solve for x
    x = 17,302.77/195.84
  6. Step 6: Final answer
    x = 88.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.