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Finding the Fourth Proportional to 164.94, 245.68 and 156.74

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Solution

The fourth proportional to 164.94, 245.68 and 156.74 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 245.68 = 156.74 : x
  2. Step 2: Convert to fraction form
    164.94/245.68 = 156.74/x
  3. Step 3: Cross multiply
    164.94x = 245.68 × 156.74
  4. Step 4: Simplify right side
    164.94x = 38,507.88
  5. Step 5: Solve for x
    x = 38,507.88/164.94
  6. Step 6: Final answer
    x = 233.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.