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Finding the Fourth Proportional to 264.47, 364.98 and 175.80

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Solution

The fourth proportional to 264.47, 364.98 and 175.80 is: 242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 364.98 = 175.80 : x
  2. Step 2: Convert to fraction form
    264.47/364.98 = 175.80/x
  3. Step 3: Cross multiply
    264.47x = 364.98 × 175.80
  4. Step 4: Simplify right side
    264.47x = 64,162.77
  5. Step 5: Solve for x
    x = 64,162.77/264.47
  6. Step 6: Final answer
    x = 242.61

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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.