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Finding the Fourth Proportional to 210.16, 289.76 and 132.40

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Solution

The fourth proportional to 210.16, 289.76 and 132.40 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.16 : 289.76 = 132.40 : x
  2. Step 2: Convert to fraction form
    210.16/289.76 = 132.40/x
  3. Step 3: Cross multiply
    210.16x = 289.76 × 132.40
  4. Step 4: Simplify right side
    210.16x = 38,364.22
  5. Step 5: Solve for x
    x = 38,364.22/210.16
  6. Step 6: Final answer
    x = 182.55

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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.