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Finding the Fourth Proportional to 188.04, 259.16 and 146.53

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Solution

The fourth proportional to 188.04, 259.16 and 146.53 is: 201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.04 : 259.16 = 146.53 : x
  2. Step 2: Convert to fraction form
    188.04/259.16 = 146.53/x
  3. Step 3: Cross multiply
    188.04x = 259.16 × 146.53
  4. Step 4: Simplify right side
    188.04x = 37,974.71
  5. Step 5: Solve for x
    x = 37,974.71/188.04
  6. Step 6: Final answer
    x = 201.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.