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Finding the Fourth Proportional to 164.10, 245.88 and 99.84

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Solution

The fourth proportional to 164.10, 245.88 and 99.84 is: 149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.10 : 245.88 = 99.84 : x
  2. Step 2: Convert to fraction form
    164.10/245.88 = 99.84/x
  3. Step 3: Cross multiply
    164.10x = 245.88 × 99.84
  4. Step 4: Simplify right side
    164.10x = 24,548.66
  5. Step 5: Solve for x
    x = 24,548.66/164.10
  6. Step 6: Final answer
    x = 149.60

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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.