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Finding the Fourth Proportional to 214.79, 322.47 and 188.06

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Solution

The fourth proportional to 214.79, 322.47 and 188.06 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.79 : 322.47 = 188.06 : x
  2. Step 2: Convert to fraction form
    214.79/322.47 = 188.06/x
  3. Step 3: Cross multiply
    214.79x = 322.47 × 188.06
  4. Step 4: Simplify right side
    214.79x = 60,642.10
  5. Step 5: Solve for x
    x = 60,642.10/214.79
  6. Step 6: Final answer
    x = 282.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.