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Finding the Fourth Proportional to 152.40, 210.16 and 134.92

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Solution

The fourth proportional to 152.40, 210.16 and 134.92 is: 186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.40 : 210.16 = 134.92 : x
  2. Step 2: Convert to fraction form
    152.40/210.16 = 134.92/x
  3. Step 3: Cross multiply
    152.40x = 210.16 × 134.92
  4. Step 4: Simplify right side
    152.40x = 28,354.79
  5. Step 5: Solve for x
    x = 28,354.79/152.40
  6. Step 6: Final answer
    x = 186.06

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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.