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Finding the Fourth Proportional to 201.66, 278.32 and 152.45

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Solution

The fourth proportional to 201.66, 278.32 and 152.45 is: 210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 278.32 = 152.45 : x
  2. Step 2: Convert to fraction form
    201.66/278.32 = 152.45/x
  3. Step 3: Cross multiply
    201.66x = 278.32 × 152.45
  4. Step 4: Simplify right side
    201.66x = 42,429.44
  5. Step 5: Solve for x
    x = 42,429.44/201.66
  6. Step 6: Final answer
    x = 210.40

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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.