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Finding the Fourth Proportional to 328.51, 453.30 and 188.63

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Solution

The fourth proportional to 328.51, 453.30 and 188.63 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.51 : 453.30 = 188.63 : x
  2. Step 2: Convert to fraction form
    328.51/453.30 = 188.63/x
  3. Step 3: Cross multiply
    328.51x = 453.30 × 188.63
  4. Step 4: Simplify right side
    328.51x = 85,506.17
  5. Step 5: Solve for x
    x = 85,506.17/328.51
  6. Step 6: Final answer
    x = 260.28

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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.