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Finding the Fourth Proportional to 152.35, 210.14 and 97.00

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Solution

The fourth proportional to 152.35, 210.14 and 97.00 is: 133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 210.14 = 97.00 : x
  2. Step 2: Convert to fraction form
    152.35/210.14 = 97.00/x
  3. Step 3: Cross multiply
    152.35x = 210.14 × 97.00
  4. Step 4: Simplify right side
    152.35x = 20,384.27
  5. Step 5: Solve for x
    x = 20,384.27/152.35
  6. Step 6: Final answer
    x = 133.80

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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.