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Finding the Fourth Proportional to 219.53, 328.86 and 97.58

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Solution

The fourth proportional to 219.53, 328.86 and 97.58 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.53 : 328.86 = 97.58 : x
  2. Step 2: Convert to fraction form
    219.53/328.86 = 97.58/x
  3. Step 3: Cross multiply
    219.53x = 328.86 × 97.58
  4. Step 4: Simplify right side
    219.53x = 32,088.51
  5. Step 5: Solve for x
    x = 32,088.51/219.53
  6. Step 6: Final answer
    x = 146.17

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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.