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Finding the Fourth Proportional to 208.08, 287.10 and 146.16

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Solution

The fourth proportional to 208.08, 287.10 and 146.16 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 287.10 = 146.16 : x
  2. Step 2: Convert to fraction form
    208.08/287.10 = 146.16/x
  3. Step 3: Cross multiply
    208.08x = 287.10 × 146.16
  4. Step 4: Simplify right side
    208.08x = 41,962.54
  5. Step 5: Solve for x
    x = 41,962.54/208.08
  6. Step 6: Final answer
    x = 201.67

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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.