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Finding the Fourth Proportional to 201.60, 277.65 and 152.40

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Solution

The fourth proportional to 201.60, 277.65 and 152.40 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 277.65 = 152.40 : x
  2. Step 2: Convert to fraction form
    201.60/277.65 = 152.40/x
  3. Step 3: Cross multiply
    201.60x = 277.65 × 152.40
  4. Step 4: Simplify right side
    201.60x = 42,313.86
  5. Step 5: Solve for x
    x = 42,313.86/201.60
  6. Step 6: Final answer
    x = 209.89

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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.