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Finding the Fourth Proportional to 369.86, 510.48 and 214.64

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Solution

The fourth proportional to 369.86, 510.48 and 214.64 is: 296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.86 : 510.48 = 214.64 : x
  2. Step 2: Convert to fraction form
    369.86/510.48 = 214.64/x
  3. Step 3: Cross multiply
    369.86x = 510.48 × 214.64
  4. Step 4: Simplify right side
    369.86x = 109,569.43
  5. Step 5: Solve for x
    x = 109,569.43/369.86
  6. Step 6: Final answer
    x = 296.25

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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.