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Finding the Fourth Proportional to 257, 383.65 and 220.52

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Solution

The fourth proportional to 257, 383.65 and 220.52 is: 329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 383.65 = 220.52 : x
  2. Step 2: Convert to fraction form
    257/383.65 = 220.52/x
  3. Step 3: Cross multiply
    257x = 383.65 × 220.52
  4. Step 4: Simplify right side
    257x = 84,602.50
  5. Step 5: Solve for x
    x = 84,602.50/257
  6. Step 6: Final answer
    x = 329.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.