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Finding the Fourth Proportional to 364.51, 502.88 and 222.65

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Solution

The fourth proportional to 364.51, 502.88 and 222.65 is: 307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.51 : 502.88 = 222.65 : x
  2. Step 2: Convert to fraction form
    364.51/502.88 = 222.65/x
  3. Step 3: Cross multiply
    364.51x = 502.88 × 222.65
  4. Step 4: Simplify right side
    364.51x = 111,962.60
  5. Step 5: Solve for x
    x = 111,962.60/364.51
  6. Step 6: Final answer
    x = 307.16

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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.