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Finding the Fourth Proportional to 264.12, 364.50 and 152.10

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Solution

The fourth proportional to 264.12, 364.50 and 152.10 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 364.50 = 152.10 : x
  2. Step 2: Convert to fraction form
    264.12/364.50 = 152.10/x
  3. Step 3: Cross multiply
    264.12x = 364.50 × 152.10
  4. Step 4: Simplify right side
    264.12x = 55,440.45
  5. Step 5: Solve for x
    x = 55,440.45/264.12
  6. Step 6: Final answer
    x = 209.91

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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.