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Finding the Fourth Proportional to 156.70, 235.19 and 65.46

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Solution

The fourth proportional to 156.70, 235.19 and 65.46 is: 98.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.70 : 235.19 = 65.46 : x
  2. Step 2: Convert to fraction form
    156.70/235.19 = 65.46/x
  3. Step 3: Cross multiply
    156.70x = 235.19 × 65.46
  4. Step 4: Simplify right side
    156.70x = 15,395.54
  5. Step 5: Solve for x
    x = 15,395.54/156.70
  6. Step 6: Final answer
    x = 98.25

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Why These Related Problems?

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