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Finding the Fourth Proportional to 164.63, 245.70 and 146.13

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Solution

The fourth proportional to 164.63, 245.70 and 146.13 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 245.70 = 146.13 : x
  2. Step 2: Convert to fraction form
    164.63/245.70 = 146.13/x
  3. Step 3: Cross multiply
    164.63x = 245.70 × 146.13
  4. Step 4: Simplify right side
    164.63x = 35,904.14
  5. Step 5: Solve for x
    x = 35,904.14/164.63
  6. Step 6: Final answer
    x = 218.10

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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.