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Finding the Fourth Proportional to 264.03, 364.38 and 152.01

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Solution

The fourth proportional to 264.03, 364.38 and 152.01 is: 209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.03 : 364.38 = 152.01 : x
  2. Step 2: Convert to fraction form
    264.03/364.38 = 152.01/x
  3. Step 3: Cross multiply
    264.03x = 364.38 × 152.01
  4. Step 4: Simplify right side
    264.03x = 55,390.58
  5. Step 5: Solve for x
    x = 55,390.58/264.03
  6. Step 6: Final answer
    x = 209.79

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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.