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Finding the Fourth Proportional to 277.82, 383.54 and 215.51

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Solution

The fourth proportional to 277.82, 383.54 and 215.51 is: 297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.82 : 383.54 = 215.51 : x
  2. Step 2: Convert to fraction form
    277.82/383.54 = 215.51/x
  3. Step 3: Cross multiply
    277.82x = 383.54 × 215.51
  4. Step 4: Simplify right side
    277.82x = 82,656.71
  5. Step 5: Solve for x
    x = 82,656.71/277.82
  6. Step 6: Final answer
    x = 297.52

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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.