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Finding the Fourth Proportional to 156.65, 234.81 and 98.82

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Solution

The fourth proportional to 156.65, 234.81 and 98.82 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.65 : 234.81 = 98.82 : x
  2. Step 2: Convert to fraction form
    156.65/234.81 = 98.82/x
  3. Step 3: Cross multiply
    156.65x = 234.81 × 98.82
  4. Step 4: Simplify right side
    156.65x = 23,203.92
  5. Step 5: Solve for x
    x = 23,203.92/156.65
  6. Step 6: Final answer
    x = 148.13

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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.